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Volumn 32, Issue 7-8, 2003, Pages 945-975

Scanning the structure of ill-known spaces: Part 1. Founding principles about mathematical constitution of space

Author keywords

Cybernetics; Space; Structures; Theory; Topology

Indexed keywords

CYBERNETICS; RELATIVITY; STRUCTURE (COMPOSITION); TOPOLOGY;

EID: 0141740296     PISSN: 0368492X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (55)
  • 3
    • 0031532929 scopus 로고    scopus 로고
    • Einstein and Minkowski versus Dirac and Wigner: Covariance versus invariance
    • Arunasalam, V. (1997), "Einstein and Minkowski versus Dirac and Wigner: covariance versus invariance", Physics Essays, Vol. 10 No. 3, pp. 528-32.
    • (1997) Physics Essays , vol.10 , Issue.3 , pp. 528-532
    • Arunasalam, V.1
  • 4
    • 0034423717 scopus 로고    scopus 로고
    • Non-Archimedean algebra: Applications to cosmology and gravitation
    • Avinash, K. and Rvachev, V.L. (2000), "Non-Archimedean algebra: applications to cosmology and gravitation", Foundations of Physics, Vol. 30 No. 1, pp. 139-52.
    • (2000) Foundations of Physics , vol.30 , Issue.1 , pp. 139-152
    • Avinash, K.1    Rvachev, V.L.2
  • 7
    • 0141823523 scopus 로고
    • Personal communication to M. Bounias
    • Bonaly, A. (1992), Personal communication to M. Bounias.
    • (1992)
    • Bonaly, A.1
  • 8
    • 21844513957 scopus 로고
    • The trace of time in Poincaré sections of topological spaces
    • Bonaly, A. and Bounias, M. (1995), "The trace of time in Poincaré sections of topological spaces", Physics Essays, Vol. 8 No. 2, pp. 236-44.
    • (1995) Physics Essays , vol.8 , Issue.2 , pp. 236-244
    • Bonaly, A.1    Bounias, M.2
  • 9
    • 85040134388 scopus 로고
    • Les ensembles de mesure nulle
    • Editions du CNRS, Paris
    • Borel, E. (1912), Les ensembles de mesure nulle. Oeuvres complètes. Editions du CNRS, Paris, Vol. 3.
    • (1912) Oeuvres Complètes , vol.3
    • Borel, E.1
  • 11
    • 0039279315 scopus 로고
    • Chapters 1-4, Masson, Paris
    • Bourbaki, N. (1990b), Topologie Générale Chapters 1-4, Masson, Paris, p. 376.
    • (1990) Topologie Générale , pp. 376
    • Bourbaki, N.1
  • 12
    • 0141712191 scopus 로고    scopus 로고
    • Definition and some properties of set-differences, instans and their momentum, in the search for probationary spaces
    • Bounias, M. (1997), "Definition and some properties of set-differences, instans and their momentum, in the search for probationary spaces", J Ultra Scientist of Physical Sciences, Vol. 9 No. 2, pp. 139-45.
    • (1997) J Ultra Scientist of Physical Sciences , vol.9 , Issue.2 , pp. 139-145
    • Bounias, M.1
  • 13
    • 0141488918 scopus 로고    scopus 로고
    • The theory of something: A theorem supporting the conditions for existence of a physical universe, from the empty set to the biological self
    • Daniel, M. Dubois (Ed.) CASYS'99 Int. Math. Conf.
    • Bounias, M. (2000a), "The theory of something: a theorem supporting the conditions for existence of a physical universe, from the empty set to the biological self', in Daniel, M. Dubois (Ed.) CASYS'99 Int. Math. Conf., Int. J. Comput. Anticipatory Systems, Vol. 5, pp. 11-24.
    • (2000) Int. J. Comput. Anticipatory Systems , vol.5 , pp. 11-24
    • Bounias, M.1
  • 14
    • 0012421570 scopus 로고    scopus 로고
    • A theorem proving the irreversibility of the biological arrow of time, based on fixed points in the brain as a compact, delta-complete topological space
    • Daniel M. Dubois (Ed.), CP
    • Bounias, (2000b), "A theorem proving the irreversibility of the biological arrow of time, based on fixed points in the brain as a compact, delta-complete topological space", in Daniel M. Dubois (Ed.) CASYS'99 Int. Math. Conf. American Institute of Physics, CP Vol. 517, pp. 233-43.
    • (2000) CASYS'99 Int. Math. Conf. American Institute of Physics , vol.517 , pp. 233-243
    • Bounias1
  • 15
    • 0141712194 scopus 로고    scopus 로고
    • Indecidability and incompleteness in formal axiomatics as questioned by anticipatory processes
    • Daniel, M. Dubois (Ed.) CASYS'2000 Int. Math. Conf.
    • Bounias, M. (2001), "Indecidability and incompleteness in formal axiomatics as questioned by anticipatory processes", in (Daniel, M. Dubois (Ed.) CASYS'2000 Int. Math. Conf., Int. J. Comput. Anticipatory Systems, Vol. 8, 259-74.
    • (2001) Int. J. Comput. Anticipatory Systems , vol.8 , pp. 259-274
    • Bounias, M.1
  • 16
    • 0000158408 scopus 로고
    • On mathematical links between physical existence, observability and information: Towards a "theorem of something"
    • Bounias, M. and Bonaly, A. (1994), "On mathematical links between physical existence, observability and information: towards a "theorem of something", J. Ultra Scientist of Physical Sciences, Vol. 6 No. 2, pp. 251-9.
    • (1994) J. Ultra Scientist of Physical Sciences , vol.6 , Issue.2 , pp. 251-259
    • Bounias, M.1    Bonaly, A.2
  • 17
    • 0012479707 scopus 로고    scopus 로고
    • On metrics and scaling: Physical coordinates in topological spaces
    • Bounias, M. and Bonaly, A. (1996), "On metrics and scaling: physical coordinates in topological spaces", Indian Journal of Theoretical Physics, Vol. 44 No. 4, pp. 303-21.
    • (1996) Indian Journal of Theoretical Physics , vol.44 , Issue.4 , pp. 303-321
    • Bounias, M.1    Bonaly, A.2
  • 18
    • 0030980291 scopus 로고    scopus 로고
    • The topology of perceptive functions as a corollary of the theorem of existence in closed spaces
    • Bounias, M. and Bonaly, A. (1997a), "The topology of perceptive functions as a corollary of the theorem of existence in closed spaces", BioSystems, Vol. 42, pp. 191-205.
    • (1997) BioSystems , vol.42 , pp. 191-205
    • Bounias, M.1    Bonaly, A.2
  • 19
    • 0031321055 scopus 로고    scopus 로고
    • Some theorems on the empty set as necessary and sufficient for the primary topological axioms of physical existence
    • Bounias, M. and Bonaly, A. (1997b), "Some theorems on the empty set as necessary and sufficient for the primary topological axioms of physical existence", Physics Essays, Vol. 10 No. 4, pp. 633-43.
    • (1997) Physics Essays , vol.10 , Issue.4 , pp. 633-643
    • Bounias, M.1    Bonaly, A.2
  • 20
    • 20244362529 scopus 로고    scopus 로고
    • A formal link of anticipatory mental imaging with fractal features of biological time
    • Bounias, M. and Bonaly, A. (2001), "A formal link of anticipatory mental imaging with fractal features of biological time", Amer. Inst. Phys. CP, Vol. 573, pp. 422-36.
    • (2001) Amer. Inst. Phys. CP , vol.573 , pp. 422-436
    • Bounias, M.1    Bonaly, A.2
  • 21
    • 0141488922 scopus 로고    scopus 로고
    • L'inflation de l'univers
    • Scientific American, French Edition
    • Bucher, M. and Spergel, D. (1999), "L'inflation de l'univers". Pour la Science (Scientific American, French Edition), Vol. 257, pp. 50-7.
    • (1999) Pour la Science , vol.257 , pp. 50-57
    • Bucher, M.1    Spergel, D.2
  • 22
    • 0141823519 scopus 로고    scopus 로고
    • Springer-Verlag, Singapore
    • Chaitin, GJ. (1998), The Limits of Mathematics, Springer-Verlag, Singapore, Vol. 17, pp. 80-3.
    • (1998) The Limits of Mathematics , vol.17 , pp. 80-83
    • Chaitin, G.J.1
  • 23
    • 0003602295 scopus 로고    scopus 로고
    • Springer, Singapore
    • Chaitin, GJ. (1999), The Unknowable, Springer, Singapore, p. 122.
    • (1999) The Unknowable , pp. 122
    • Chaitin, G.J.1
  • 26
    • 0000954072 scopus 로고
    • An unsolvable problem of elementary number theory
    • Church, A. (1936), "An unsolvable problem of elementary number theory", Am. J. Math, Vol. 58, pp. 345-63.
    • (1936) Am. J. Math , vol.58 , pp. 345-363
    • Church, A.1
  • 27
    • 34347193348 scopus 로고
    • On formally undecidable propositions of Principia Mathematica and related systems I
    • Gödel, K. (1931), "On formally undecidable propositions of Principia Mathematica and related systems I", Monatshefte für Mathematik und Physik, Vol. 38, pp. 173-98.
    • (1931) Monatshefte Für Mathematik und Physik , vol.38 , pp. 173-198
    • Gödel, K.1
  • 29
    • 0003756842 scopus 로고    scopus 로고
    • Uncertainty-based information
    • Springer-Verlag, Berlin, New York
    • Klir, G.J. and Wierman, MJ. (1999), "Uncertainty-based information", Studies in Fuzziness and Soft Computing, Springer-Verlag, Berlin, New York, Vol. 15, p. 168.
    • (1999) Studies in Fuzziness and Soft Computing , vol.15 , pp. 168
    • Klir, G.J.1    Wierman, M.J.2
  • 30
    • 21344484395 scopus 로고
    • Motion of a particle and the vacuum
    • Also arXiv.org e-print archive quant-ph/9910023
    • Krasnoholovets, V. and Ivanovsky, D. (1993), "Motion of a particle and the vacuum", Physics Essays, Vol. 6 No. 4, pp. 554-63, (Also arXiv.org e-print archive quant-ph/9910023).
    • (1993) Physics Essays , vol.6 , Issue.4 , pp. 554-563
    • Krasnoholovets, V.1    Ivanovsky, D.2
  • 31
    • 0031524562 scopus 로고    scopus 로고
    • Motion of a relativistic particle and the vacuum
    • Also quant-ph/9903077
    • Krasnoholovets, V (1997), "Motion of a relativistic particle and the vacuum", Physics Essays, Vol. 10 No. 3, pp. 407-16, (Also quant-ph/9903077).
    • (1997) Physics Essays , vol.10 , Issue.3 , pp. 407-416
    • Krasnoholovets, V.1
  • 32
    • 85040134251 scopus 로고    scopus 로고
    • L'antigravité
    • Krauss, L (1999), "L'antigravité", Pour la Science, Vol. 257, pp. 42-9.
    • (1999) Pour la Science , vol.257 , pp. 42-49
    • Krauss, L.1
  • 33
    • 0031501155 scopus 로고    scopus 로고
    • The Lorentz transformation derived from an absolute aether
    • Kubel, H. (1997), "The Lorentz transformation derived from an absolute aether", Physics Essays, Vol. 10 No. 3, pp. 510-23.
    • (1997) Physics Essays , vol.10 , Issue.3 , pp. 510-523
    • Kubel, H.1
  • 34
    • 0141600479 scopus 로고
    • Can the world be studied in the viewpoint of systems ?
    • Lin, Y. (1988), "Can the world be studied in the viewpoint of systems ?", Math. Comput. Modeling, Vol. 11, pp. 738-42.
    • (1988) Math. Comput. Modeling , vol.11 , pp. 738-742
    • Lin, Y.1
  • 35
    • 0039462058 scopus 로고
    • A multirelational approach of general systems and tests of applications. Sybthese
    • Lin, Y. (1989), "A multirelational approach of general systems and tests of applications. Sybthese", Int. J. Epistemol Methodol and Philos. of Sci., Vol. 79, pp. 473-88.
    • (1989) Int. J. Epistemol Methodol and Philos. of Sci. , vol.79 , pp. 473-488
    • Lin, Y.1
  • 37
    • 0032221770 scopus 로고    scopus 로고
    • A smaller bang?
    • Meno, F. (1998), "A smaller bang?", Physics Essays, Vol. 11 No. 2, pp. 307-10.
    • (1998) Physics Essays , vol.11 , Issue.2 , pp. 307-310
    • Meno, F.1
  • 38
    • 0039210566 scopus 로고
    • Les antinomies de Russell et de Burali-Forti, et le problème fondamental de la théorie des ensembles
    • Mirimanoff, D. (1917), "Les antinomies de Russell et de Burali-Forti, et le problème fondamental de la théorie des ensembles", L'Enseignement Mathématique, Vol. 19, pp. 37-52.
    • (1917) L'Enseignement Mathématique , vol.19 , pp. 37-52
    • Mirimanoff, D.1
  • 39
    • 85040134918 scopus 로고
    • The Cult of the Big-Bang
    • Carson City, USA
    • Mitchell, W.C. (1995), The Cult of the Big-Bang, Cosmic Sense Books, Carson City, USA, p. 240.
    • (1995) Cosmic Sense Books , pp. 240
    • Mitchell, W.C.1
  • 40
    • 0032148315 scopus 로고    scopus 로고
    • An aether model of the universe
    • Rothwarf, A. (1998), "An aether model of the universe", Physics Essays, Vol. 11 No. 3, pp. 444-66.
    • (1998) Physics Essays , vol.11 , Issue.3 , pp. 444-466
    • Rothwarf, A.1
  • 42
    • 0004060768 scopus 로고    scopus 로고
    • Springer-Verlag, Berlin, Heidelberg
    • Tricot, C. (1999), Courbes et dimension fractale, Springer-Verlag, Berlin, Heidelberg, (See also: 1999a, pp. 240-60; 1999b, p. 51, 110).
    • (1999) Courbes et Dimension Fractale
    • Tricot, C.1
  • 43
    • 0004060768 scopus 로고    scopus 로고
    • Tricot, C. (1999), Courbes et dimension fractale, Springer-Verlag, Berlin, Heidelberg, (See also: 1999a, pp. 240-60; 1999b, p. 51, 110).
    • (1999) Courbes et Dimension Fractale , pp. 240-260
  • 44
    • 0004060768 scopus 로고    scopus 로고
    • Tricot, C. (1999), Courbes et dimension fractale, Springer-Verlag, Berlin, Heidelberg, (See also: 1999a, pp. 240-60; 1999b, p. 51, 110).
    • (1999) Courbes et Dimension Fractale , pp. 51
  • 45
    • 84960561455 scopus 로고    scopus 로고
    • On computable numbers, with an application to the entscheidungsproblem
    • Turing, A.M. (1937), On computable numbers, with an application to the entscheidungsproblem. Proc. Land. Math. Soc., Series 2, Vol. 42, pp. 230-65 and Vol. 43, pp. 544-6.
    • (1937) Proc. Land. Math. Soc., Series 2 , vol.42 , pp. 230-265
    • Turing, A.M.1
  • 46
    • 84960561455 scopus 로고    scopus 로고
    • Turing, A.M. (1937), On computable numbers, with an application to the entscheidungsproblem. Proc. Land. Math. Soc., Series 2, Vol. 42, pp. 230-65 and Vol. 43, pp. 544-6.
    • Proc. Land. Math. Soc., Series 2 , vol.43 , pp. 544-546
  • 48
    • 0141600477 scopus 로고    scopus 로고
    • Weisstein, E.W. (1999), CRC Concise Encyclopedia of Mathematics, Springer-Verlag, New York, (See also: 1999a, pp. 1099-1100; 1999b, pp. 473-4; 1999c, p. 740).
    • (1999) CRC Concise Encyclopedia of Mathematics , pp. 1099-1100
  • 49
    • 0141600477 scopus 로고    scopus 로고
    • Weisstein, E.W. (1999), CRC Concise Encyclopedia of Mathematics, Springer-Verlag, New York, (See also: 1999a, pp. 1099-1100; 1999b, pp. 473-4; 1999c, p. 740).
    • (1999) CRC Concise Encyclopedia of Mathematics , pp. 473-474
  • 50
    • 0141600477 scopus 로고    scopus 로고
    • Weisstein, E.W. (1999), CRC Concise Encyclopedia of Mathematics, Springer-Verlag, New York, (See also: 1999a, pp. 1099-1100; 1999b, pp. 473-4; 1999c, p. 740).
    • (1999) CRC Concise Encyclopedia of Mathematics , pp. 740
  • 51
    • 21844511169 scopus 로고
    • Experimental results of Aspect et al. confirm classical local causality
    • Wesley, J.P. (1994), "Experimental results of Aspect et al. confirm classical local causality", Physics Essays, Vol. 7, p. 240, (See also: 1998, Vol. 11 No. 4, p. 610).
    • (1994) Physics Essays , vol.7 , pp. 240
    • Wesley, J.P.1
  • 52
    • 22644449134 scopus 로고    scopus 로고
    • Wesley, J.P. (1994), "Experimental results of Aspect et al. confirm classical local causality", Physics Essays, Vol. 7, p. 240, (See also: 1998, Vol. 11 No. 4, p. 610).
    • (1998) Physics Essays , vol.11 , Issue.4 , pp. 610
  • 53
    • 0011320565 scopus 로고
    • Classical quantum theory
    • Wesley, J.P. (1995), "Classical quantum theory", Apeiron, Vol. 2 No. 2, pp. 27-32.
    • (1995) Apeiron , vol.2 , Issue.2 , pp. 27-32
    • Wesley, J.P.1
  • 54
    • 0141600472 scopus 로고    scopus 로고
    • Beyond non-structural quantitative analysis
    • World Scientific, New Jersey, London
    • Wu, Y. and Li, Y. (2002), "Beyond non-structural quantitative analysis", in, Blown Ups, Spinning Currents and Modern Science, World Scientific, New Jersey, London, p. 324.
    • (2002) Blown Ups, Spinning Currents and Modern Science , pp. 324
    • Wu, Y.1    Li, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.