Pacific Journal of Mathematics

On a cohomology theory based on hyperfinite sums of microsimplexes.

Rade T. Živaljević

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Article information

Source
Pacific J. Math., Volume 128, Number 1 (1987), 201-208.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102699443

Mathematical Reviews number (MathSciNet)
MR883385

Zentralblatt MATH identifier
0635.55009

Subjects
Primary: 55N05: Cech types
Secondary: 03H05: Nonstandard models in mathematics [See also 26E35, 28E05, 30G06, 46S20, 47S20, 54J05] 54J05: Nonstandard topology [See also 03H05]

Citation

Živaljević, Rade T. On a cohomology theory based on hyperfinite sums of microsimplexes. Pacific J. Math. 128 (1987), no. 1, 201--208. https://projecteuclid.org/euclid.pjm/1102699443


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References

  • [I] G. E. Bredon, Sheaf Theory, McGraw-Hill,New York 1967.
    Mathematical Reviews (MathSciNet): MR36:4552
    Zentralblatt MATH: 0158.20505
  • [2] N. J. Cutland, Nonstandard measure theory and its applications, Bull. London Math. Soc, 15 (1983), 529-589.
    Mathematical Reviews (MathSciNet): MR85b:28001
    Zentralblatt MATH: 0529.28009
  • [3] M. Davis, Applied Nonstandard Analysis, J. Wiley Pub., New York, 1977.
    Mathematical Reviews (MathSciNet): MR58:21590
    Zentralblatt MATH: 0359.02060
  • [4] S. Garavaglia, Homology with equationally compact coefficients, Fund. Math., 100 (1978), 89-95.
    Mathematical Reviews (MathSciNet): MR58:12999
    Zentralblatt MATH: 0377.55006
  • [5] R. Godement, Topologie Algebrique et Theoriedes Faisceaux, Hermann, Paris (1958).
    Mathematical Reviews (MathSciNet): MR21:1583
    Zentralblatt MATH: 0080.16201
  • [6] P. A. Loeb, An Introduction to Nonstandard Analysis and Hyper-finite Probability Theory, Probalistic Analysis and Related Topics, Vol. 2 (Ed. A. T. Bharucha-Reid, Academic Press, New York, 1979) pp. 105-142.
    Mathematical Reviews (MathSciNet): MR80m:60005
    Zentralblatt MATH: 0441.03027
  • [7] M. C. McCord, Non-standard analysis and homology, Fund. Math., 74 (1972), 21-28.
    Mathematical Reviews (MathSciNet): MR45:9316
    Zentralblatt MATH: 0233.55005
  • [8] J. P. Reveilles, Infinitesimaux et Topologie,Publ. I.R.M.A., Strasbourg, 1983.
  • [9] A. Robinson, Non-Standard Analysis, North-Holland, Amsterdam, 1966.
    Mathematical Reviews (MathSciNet): MR34:5680
  • [10] J. P. Serre, A Course in Arithmetic, Springer-Verlag, New York, 1973.
    Mathematical Reviews (MathSciNet): MR49:8956
    Zentralblatt MATH: 0256.12001
  • [II] K. D. Stroyan, and W. A. J. Luxemburg, Introduction to the Theory of Infinitesimals, Academic Press, 1976.
    Mathematical Reviews (MathSciNet): MR58:10429
    Zentralblatt MATH: 0336.26002
  • [12] G. Takeuti, Two Applications of Logic to Mathematics, Princeton Univ. Press, 1978.
    Mathematical Reviews (MathSciNet): MR58:21591
    Zentralblatt MATH: 0393.03027

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