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Volumn 156, Issue 2, 2008, Pages 227-239

The monad of probability measures over compact ordered spaces and its Eilenberg-Moore algebras

Author keywords

Compact ordered spaces; Eilenberg Moore algebras; Monads; Probability measures; Stochastic order

Indexed keywords


EID: 56349139931     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2008.07.002     Document Type: Article
Times cited : (30)

References (31)
  • 1
    • 0002279304 scopus 로고
    • Compact Convex Sets and Boundary Integrals
    • Springer-Verlag
    • Alfsen E.M. Compact Convex Sets and Boundary Integrals. Ergeb. Math. Grenzgeb. (3) vol. 57 (1971), Springer-Verlag
    • (1971) Ergeb. Math. Grenzgeb. (3) , vol.57
    • Alfsen, E.M.1
  • 3
    • 56349117363 scopus 로고    scopus 로고
    • M. Alvarez Manilla, Measure theoretic results for continuous valuations on partially ordered spaces, PhD Thesis, Imperial College, University of London, 2001
    • M. Alvarez Manilla, Measure theoretic results for continuous valuations on partially ordered spaces, PhD Thesis, Imperial College, University of London, 2001
  • 5
    • 33745853550 scopus 로고    scopus 로고
    • The extended probabilistic power domain monad over stably compact spaces
    • Proceedings of TAMC06: Theory and Applications of Models of Computation. Cai J.-Y., Cooper S.B., and Li A. (Eds). Bejing, 2006, Springer-Verlag
    • Cohen B., Escardó M., and Keimel K. The extended probabilistic power domain monad over stably compact spaces. In: Cai J.-Y., Cooper S.B., and Li A. (Eds). Proceedings of TAMC06: Theory and Applications of Models of Computation. Bejing, 2006. Lecture Notes in Comput. Sci. vol. 3959 (2006), Springer-Verlag 566-575
    • (2006) Lecture Notes in Comput. Sci. , vol.3959 , pp. 566-575
    • Cohen, B.1    Escardó, M.2    Keimel, K.3
  • 6
    • 0006470236 scopus 로고
    • Filter monads, continuous lattices and closure systems
    • Day A. Filter monads, continuous lattices and closure systems. Canad. J. Math. 27 (1975) 50-59
    • (1975) Canad. J. Math. , vol.27 , pp. 50-59
    • Day, A.1
  • 7
    • 84855196000 scopus 로고    scopus 로고
    • Eilenberg-Moore algebras for stochastic relations
    • Doberkat E.E. Eilenberg-Moore algebras for stochastic relations. Inform. and Comput. 204 (2006) 1756-1781
    • (2006) Inform. and Comput. , vol.204 , pp. 1756-1781
    • Doberkat, E.E.1
  • 8
    • 56349119648 scopus 로고    scopus 로고
    • E.E. Doberkat, Eilenberg-Moore algebras for stochastic relations. Erratum and Addendum, submitted for publication
    • E.E. Doberkat, Eilenberg-Moore algebras for stochastic relations. Erratum and Addendum, submitted for publication
  • 10
    • 0002156769 scopus 로고
    • On the existence of probability measures with given marginals
    • Edwards D.A. On the existence of probability measures with given marginals. Ann. Inst. Fourier (Grenoble) 28 (1978) 53-78
    • (1978) Ann. Inst. Fourier (Grenoble) , vol.28 , pp. 53-78
    • Edwards, D.A.1
  • 11
    • 0010801618 scopus 로고
    • Probability measures in topology
    • Fedorchuk V.V. Probability measures in topology. Russian Math. Surveys 46 1 (1991) 45-93
    • (1991) Russian Math. Surveys , vol.46 , Issue.1 , pp. 45-93
    • Fedorchuk, V.V.1
  • 13
    • 85034865825 scopus 로고
    • Closure properties of a probabilistic powerdomain construction
    • Mathematical Foundations of Programming Language Semantics. Main M., Melton A., Mislove M., and Schmidt D. (Eds), Springer-Verlag
    • Graham S. Closure properties of a probabilistic powerdomain construction. In: Main M., Melton A., Mislove M., and Schmidt D. (Eds). Mathematical Foundations of Programming Language Semantics. Lecture Notes in Comput. Sci. vol. 298 (1988), Springer-Verlag 213-233
    • (1988) Lecture Notes in Comput. Sci. , vol.298 , pp. 213-233
    • Graham, S.1
  • 15
    • 56349115173 scopus 로고    scopus 로고
    • C. Jones, Probabilistic non-determinism, PhD Thesis, Department of Computer Science, The University of Edinburgh, 1990, 201 (also published as Technical Report No. CST-63-90)
    • C. Jones, Probabilistic non-determinism, PhD Thesis, Department of Computer Science, The University of Edinburgh, 1990, 201 (also published as Technical Report No. CST-63-90)
  • 16
    • 2442553618 scopus 로고    scopus 로고
    • Stably compact spaces and closed relations
    • Seventeenth Conference on the Mathematical Foundations of Programming Semantics (MFPS 17)
    • Jung A., Kegelmann M., and Moshier M.A. Stably compact spaces and closed relations. Seventeenth Conference on the Mathematical Foundations of Programming Semantics (MFPS 17). Electron. Notes Theor. Comput. Sci. vol. 45 (2001) 209-231
    • (2001) Electron. Notes Theor. Comput. Sci. , vol.45 , pp. 209-231
    • Jung, A.1    Kegelmann, M.2    Moshier, M.A.3
  • 17
    • 0010172073 scopus 로고
    • Konvexe Räume
    • Kneser H. Konvexe Räume. Arch. Math. 3 (1952) 198-206
    • (1952) Arch. Math. , vol.3 , pp. 198-206
    • Kneser, H.1
  • 18
    • 84972492637 scopus 로고
    • Embeddings of compact convex sets and locally compact cones
    • Lawson J.D. Embeddings of compact convex sets and locally compact cones. Pacific J. Math. 66 (1976) 443-453
    • (1976) Pacific J. Math. , vol.66 , pp. 443-453
    • Lawson, J.D.1
  • 19
    • 0038765585 scopus 로고
    • Valuations on continuous lattices
    • Continuous Lattices and Related Topics. Hoffmann R.-E. (Ed), Universität Bremen
    • Lawson J.D. Valuations on continuous lattices. In: Hoffmann R.-E. (Ed). Continuous Lattices and Related Topics. Mathematik Arbeitspapiere vol. 27 (1982), Universität Bremen 204-225
    • (1982) Mathematik Arbeitspapiere , vol.27 , pp. 204-225
    • Lawson, J.D.1
  • 20
    • 0041719188 scopus 로고
    • On congruences and cones
    • Lawson J.D., and Madison B. On congruences and cones. Math. Z. 120 (1971) 18-24
    • (1971) Math. Z. , vol.120 , pp. 18-24
    • Lawson, J.D.1    Madison, B.2
  • 21
    • 0009996369 scopus 로고    scopus 로고
    • Categories for the Working Mathematician
    • Springer-Verlag
    • Mac Lane S. Categories for the Working Mathematician. Grad. Texts in Math. second ed. vol. 5 (1998), Springer-Verlag
    • (1998) Grad. Texts in Math. second ed. , vol.5
    • Mac Lane, S.1
  • 23
    • 0003763736 scopus 로고
    • Von Nostrand, Princeton, NJ Translated from the 1950 monograph "Topologia e Ordem" (in Portugese). Reprinted by Robert E. Kreiger Publishing Co., Huntington, NY, 1967
    • Nachbin L. Topology and Order (1965), Von Nostrand, Princeton, NJ Translated from the 1950 monograph "Topologia e Ordem" (in Portugese). Reprinted by Robert E. Kreiger Publishing Co., Huntington, NY, 1967
    • (1965) Topology and Order
    • Nachbin, L.1
  • 24
    • 0012586866 scopus 로고
    • On the quasivariety of convex subsets of affine spaces
    • Neumann W.D. On the quasivariety of convex subsets of affine spaces. Arch. Math. 21 (1970) 11-16
    • (1970) Arch. Math. , vol.21 , pp. 11-16
    • Neumann, W.D.1
  • 25
    • 46249086006 scopus 로고
    • The embedding of compact convex sets in locally convex spaces
    • Roberts J.W. The embedding of compact convex sets in locally convex spaces. Canad. J. Math. 30 (1978) 449-454
    • (1978) Canad. J. Math. , vol.30 , pp. 449-454
    • Roberts, J.W.1
  • 28
    • 33646238239 scopus 로고    scopus 로고
    • Probabilistic Observations and Valuations (Extended Abstract)
    • Proceedings of the 21st Annual Conference on Mathematical Foundations of Programming Semantics (MFPS XXI)
    • Schröder M., and Simpson A. Probabilistic Observations and Valuations (Extended Abstract). Proceedings of the 21st Annual Conference on Mathematical Foundations of Programming Semantics (MFPS XXI). Electron. Notes Theor. Comput. Sci. vol. 155 (2006) 605-615
    • (2006) Electron. Notes Theor. Comput. Sci. , vol.155 , pp. 605-615
    • Schröder, M.1    Simpson, A.2
  • 29
    • 0001995203 scopus 로고
    • Continuous lattices
    • Toposes, Algebraic Geometry and Logic. Lawvere F.W. (Ed), Springer-Verlag
    • Scott D.S. Continuous lattices. In: Lawvere F.W. (Ed). Toposes, Algebraic Geometry and Logic. Lecture Notes in Math. vol. 274 (1972), Springer-Verlag 97-136
    • (1972) Lecture Notes in Math. , vol.274 , pp. 97-136
    • Scott, D.S.1
  • 30
    • 0041890002 scopus 로고
    • Monads and Their Eilenberg-Moore Algebras in Functional Analysis
    • 98 pp
    • Semadeni Z. Monads and Their Eilenberg-Moore Algebras in Functional Analysis. Queen's Papers in Pure and Appl. Math. vol. 33 (1973) 98 pp
    • (1973) Queen's Papers in Pure and Appl. Math. , vol.33
    • Semadeni, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.