메뉴 건너뛰기




Volumn , Issue , 2007, Pages 47-63

Stratified analysis?

Author keywords

[No Author keywords available]

Indexed keywords


EID: 72149125154     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-3-211-49905-4_4     Document Type: Chapter
Times cited : (11)

References (33)
  • 2
    • 1842547991 scopus 로고    scopus 로고
    • On definable standardness predicates in internal set theory
    • Russian)
    • P.V. ANDREEV. "On definable standardness predicates in internal set theory", Mathematical Notes, 66 (1999) 803-809 (Russian).
    • (1999) Mathematical Notes , vol.66 , pp. 803-809
    • Andreev, P.V.1
  • 4
    • 15244342009 scopus 로고    scopus 로고
    • Alpha-theory: An elementary axiomatics for nonstandard analysis
    • V. BENCI and M. Dl NASSO, "Alpha-theory: an elementary axiomatics for nonstandard analysis", Expositiones Math., 21 (2003) 355-386.
    • (2003) Expositiones Math. , vol.21 , pp. 355-386
    • Benci, V.1    Dl Nasso, M.2
  • 5
    • 0141733737 scopus 로고
    • A general theory of superin-fmitesimals
    • B. BENNINGHOFEN and M.M. RICHTER, "A general theory of superin-fmitesimals", Fund. Math., 123 (1987) 199-215.
    • (1987) Fund. Math. , vol.123 , pp. 199-215
    • Benninghofen, B.1    Richter, M.M.2
  • 7
    • 84887985254 scopus 로고
    • Ultrafilters and ultraproducts in nonstandard analysis
    • ed. by W.A.J. Luxemburg and A. Robinson, North Holland, Amsterdam
    • G. CHERLIN and J. HIRSCHFELD, Ultrafilters and ultraproducts in nonstandard analysis, in Contributions to Non-standard Analysis, ed. by W.A.J. Luxemburg and A. Robinson, North Holland, Amsterdam 1972.
    • (1972) Contributions to Non-standard Analysis
    • Cherlin, G.1    Hirschfeld, J.2
  • 8
    • 45349112266 scopus 로고
    • Transfer theorems for 7r-monads
    • N.J. CUTLAND, "Transfer theorems for 7r-monads", Ann. Pure Appl. Logic, 44 (1989) 53-62.
    • (1989) Ann. Pure Appl. Logic , vol.44 , pp. 53-62
    • Cutland, N.J.1
  • 9
    • 0041170112 scopus 로고
    • Nonstandard set theory
    • P. FLETCHER, "Nonstandard set theory", J. Symbolic Logic, 54 (1989) 1000-1008.
    • (1989) J. Symbolic Logic , vol.54 , pp. 1000-1008
    • Fletcher, P.1
  • 10
    • 0013198293 scopus 로고    scopus 로고
    • Lectures on the Hyperreals: An introduction to nonstandard analysis
    • Springer-Verlag, New York
    • R. GOLDBLATT, Lectures on the Hyperreals: An Introduction to Nonstandard Analysis, Graduate Texts in Math. 188, Springer-Verlag, New York, 1998.
    • (1998) Graduate Texts in Math. , vol.188
    • Goldblatt, R.1
  • 11
    • 0039681430 scopus 로고
    • Relatively nonstandard elements in the theory of internal sets of E. Nelson
    • Russian)
    • E.I. GORDON, "Relatively nonstandard elements in the theory of internal sets of E. Nelson", Siberian Mathematical Journal, 30 (1989) 89-95 (Russian).
    • (1989) Siberian Mathematical Journal , vol.30 , pp. 89-95
    • Gordon, E.I.1
  • 13
    • 0001829716 scopus 로고
    • Axiomatic foundations for nonstandard analysis
    • abstract in J. Symbolic Logic, 41 (1976) 285
    • K. HRBACEK, "Axiomatic foundations for nonstandard analysis", Funda-menta Mathematicae, 98 (1978) 1-19; abstract in J. Symbolic Logic, 41 (1976) 285.
    • (1978) Funda-menta Mathematicae , vol.98 , pp. 1-19
    • Hrbacek, K.1
  • 14
    • 0011041904 scopus 로고
    • Nonstandard set theory
    • K. HRBACEK, "Nonstandard set theory", Amer. Math. Monthly, 86 (1979) 1-19.
    • (1979) Amer. Math. Monthly , vol.86 , pp. 1-19
    • Hrbacek, K.1
  • 15
    • 78649773601 scopus 로고    scopus 로고
    • Internally iterated ultrapowers
    • ed. by A. Enayat and R. Kossak, Contemporary Math. American Mathematical Society, Providence, R.I.
    • K. HRBACEK, Internally iterated ultrapowers, in Nonstandard Models of Arithmetic and Set Theory, ed. by A. Enayat and R. Kossak, Contemporary Math. 361, American Mathematical Society, Providence, R.I., 2004.
    • (2004) Nonstandard Models of Arithmetic and Set Theory , vol.361
    • Hrbacek, K.1
  • 16
    • 84887879400 scopus 로고    scopus 로고
    • Nonstandard objects in set theory
    • ed. by N.J. Cutland, M. Di Nasso and D.A. Ross, Lecture Notes in Logic 25, Association for Symbolic Logic, Pasadena, CA.
    • K. HRBACEK, Nonstandard objects in set theory, in Nonstandard Methods and Applications in Mathematics, ed. by N.J. Cutland, M. Di Nasso and D.A. Ross, Lecture Notes in Logic 25, Association for Symbolic Logic, Pasadena, CA., 2005, 41 pp.
    • (2005) Nonstandard Methods and Applications in Mathematics , pp. 41
    • Hrbacek, K.1
  • 18
    • 0040901587 scopus 로고
    • Internal approach to external sets and universes
    • Part II, 55 (1995) 347-376; Part III, 56 (1996) 293-322
    • V. KANOVEI and M. REEKEN, "Internal approach to external sets and universes", Studia Logica, Part I, 55 (1995) 227-235; Part II, 55 (1995) 347-376; Part III, 56 (1996) 293-322.
    • (1995) Studia Logica, Part i , vol.55 , pp. 227-235
    • Kanovei, V.1    Reeken, M.2
  • 22
    • 0346100055 scopus 로고
    • On applications of double nonstandard enlargements to topology
    • V. A. MOLCHANOV, "On applications of double nonstandard enlargements to topology", Sibirsk. Mat. Zh., 30 (1989) 64-71.
    • (1989) Sibirsk. Mat. Zh. , vol.30 , pp. 64-71
    • Molchanov, V.A.1
  • 23
    • 84956085576 scopus 로고
    • Internal set theory: A new approach to Nonstandard Analysis
    • E. NELSON, "Internal set theory: a new approach to Nonstandard Analysis", Bull. Amer. Math. Soc, 83 (1977) 1165-1198.
    • (1977) Bull. Amer. Math. Soc , vol.83 , pp. 1165-1198
    • Nelson, E.1
  • 24
    • 25944448617 scopus 로고
    • Une théorie relative des ensembles in-térnes
    • Y. PÉRAIRE and G. WALLET, "Une théorie relative des ensembles in-térnes", CR. Acad. Sei. Paris, Sér. I, 308 (1989) 301-304.
    • (1989) CR. Acad. Sei. Paris, Sér. i , vol.308 , pp. 301-304
    • Péraire, Y.1    Wallet, G.2
  • 25
    • 84972558156 scopus 로고
    • Théorie relative des ensembles internes
    • Y. PÉRAIRE, "Théorie relative des ensembles internes", Osaka Journ. Math., 29 (1992) 267-297.
    • (1992) Osaka Journ. Math. , vol.29 , pp. 267-297
    • Péraire, Y.1
  • 26
    • 0010803836 scopus 로고
    • Some extensions of the principles of idealization transfer and choice in the relative internal set theory
    • Y. PÉRAIRE, "Some extensions of the principles of idealization transfer and choice in the relative internal set theory", Arch. Math. Logic, 34 (1995) 269-277.
    • (1995) Arch. Math. Logic , vol.34 , pp. 269-277
    • Péraire, Y.1
  • 27
    • 4243905028 scopus 로고    scopus 로고
    • Formules absolues dans la théorie relative des ensembles internes
    • Y. PÉRAIRE, "Formules absolues dans la théorie relative des ensembles internes", Rivista di Matematica Pura ed Applicata, 19 (1996) 27-56.
    • (1996) Rivista di Matematica Pura Ed Applicata , vol.19 , pp. 27-56
    • Péraire, Y.1
  • 28
    • 43949164591 scopus 로고
    • Infinitesimal approach of almost-automorphic functions
    • Y. PÉRAIRE, "Infinitesimal approach of almost-automorphic functions", Annals of Pure and Applied Logic, 63 (1993) 283-297.
    • (1993) Annals of Pure and Applied Logic , vol.63 , pp. 283-297
    • Péraire, Y.1
  • 33
    • 84887931652 scopus 로고
    • Superinfmitesimals and inductive limits
    • ed. by N. Cutland, Cambridge University Press, New York
    • K.D. STROYAN, Superinfmitesimals and inductive limits, in Nonstandard Analysis and its Applications, ed. by N. Cutland, Cambridge University Press, New York, 1988.
    • (1988) Nonstandard Analysis and Its Applications
    • Stroyan, K.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.