On a cohomology theory based on hyperfinite sums of microsimplexes.

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On a cohomology theory based on hyperfinite sums of microsimplexes.

Rade T. Živaljević

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

First Page: Show

Primary Subjects: 55N05

Secondary Subjects: 03H05, 54J05

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102699443
Zentralblatt MATH identifier: 0635.55009
Mathematical Reviews number (MathSciNet): MR883385

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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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