The Homology of Uniform Spaces
Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 449-455

Voir la notice de l'article provenant de la source Cambridge University Press

In the past thirty years, algebraic topologists have developed a great body of knowledge concerning the category of topological spaces. By contrast, corresponding problems in the category of uniform spaces have been barely touched. Lubkin [8] studied the notion of a covering space in the category of generalized uniform spaces, and suggested that much of algebraic topology could be profitably studied in this category. Deming [2] discussed the fundamental group of a generalized uniform space, and related it to the first Čech homology group. A slightly different version of Cech cohomology was defined by Kuzminov and Svedov in [7] and related to the dimension theory of uniform spaces.
Bahauddin, Mohammed; Thomas, John. The Homology of Uniform Spaces. Canadian journal of mathematics, Tome 25 (1973) no. 3, pp. 449-455. doi: 10.4153/CJM-1973-045-8
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[1] 1. Alfsen, E. M. and Fenstad, J. E., A note on completion and compactification, Math. Scand. 8 (1960), 105–115. Google Scholar

[2] 2. Deming, R. W., Some point-set properties and the edge path group of a generalized uniform space, Trans. Amer. Math. Soc. ISO (1968), 387-405. Google Scholar

[3] 3. Dowker, C. H., Homology groups of relations, Ann. of Math. 56 (1952), 84–95. Google Scholar

[4] 4. Dowker, C. H., Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200–242. Google Scholar

[5] 5. Eilenberg, S. and Steenrod, N., Foundations of algebraic topology (Princeton Univ. Press, Princeton, 1952). Google Scholar

[6] 6. Isbell, J. R., Uniform neighborhood retracts, Pacific J. Math. 11 (1961), 609–648. Google Scholar

[7] 7. Kuzminov, V. and Svedov, I., Cohomology and dimension of uniform spaces, Soviet Math. Dokl. 1 (1960), 1383–1386. Google Scholar

[8] 8. Lubkin, S., Theory of covering spaces, Trans. Amer. Math. Soc. 104 (1962), 265–278. Google Scholar

[9] 9. Simon, B., Some pictorial compactifications of the real line, Amer. Math. Monthly 76 (1964), 536–538. Google Scholar

[10] 10. Thron, W. J., Topological structures (Holt, Rinehart and Winston, New York, 1966). Google Scholar

[11] 11. Tukey, J. W., Convergence and uniformity in topology (Princeton Univ. Press, Princeton. 1940). Google Scholar

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