publication . Preprint . 2004

On the structure of finite-sheeted coverings of compact connected groups

Grigorian, S. A.; Gumerov, R. N.;
Open Access English
  • Published: 20 Mar 2004
Abstract
Comment: 18 pages
Subjects
free text keywords: Mathematics - General Topology, 57M10, 54C10, 54H11, 22C05
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29 references, page 1 of 2

1. Gorin E. A. and Lin V. Ya., Algebraic equations with continuous coefficients and some problems of the algebraic theory of braids, Matem. Sbornik. 78 (120) (1969), 579-610 (Russian). [OpenAIRE]

2. Gorin E. A. and Lin V. Ya., On separable polynomials over commutative Banach algebras, Doklady Akad. Nauk SSSR. 218 (1974), 505-508 (Russian).

3. Zyuzin Yu. V., Irreducible separable polynomials with holomorphic coefficients on a certain class of complex spaces, Matem. Sbornik. 102 (144) (1977), 569-591 (Russian).

4. Pontryagin L. S., Continuous Groups, Nauka, Moscow, 1984 (Russian).

5. Massey W. S., Algebraic topology: An Introduction, Harcourt Brace Jovanovich, New York, 1967.

6. Fox R.H., On shape, Fund. Math. 74 (1972), 47 - 71.

7. Fox R.H., Shape theory and covering spaces, Lecture Notes in Math. 375, 71-90, Topology Conference Virginia Polytechnic Institute, 1973 (R.F. Dickman Jr., P.Fletcher, eds.), Springer, Berlin - Heidelberg - New York, 1974.

8. Moore T.T., On Fox's theory of overlays, Fund. Math. 99 (1978), 205 - 211.

9. Koc¸ak S¸., On the fundamental theorem of overlays, Note Mat. 10 (1990), 355 - 362.

10. Mrozik P., Images and exactness in the category of pro-groups and the lifting problem for covering projections, Glasnik Mat. 28 (1993), 209 - 226.

11. Mardeˇsi´c S. and Matijevi´c V., Classifying overlay structures of topological spaces, Topology Appl. 113 (2001), 167 - 209.

12. Grigorian S. A. and Gumerov R. N., A criterion of triviality for finite-sheeted coverings of compact connected abelian groups, Trudy Lobachevskii Matem. Centre, V. 5, 238-240, Proceedings of International Conference, Unipress, Kazan, 2000. [OpenAIRE]

13. Grigorian S.A. and Gumerov R.N., On a covering group theorem and its applications, Lobachevskii J. Math. X (2002), 9-16. [OpenAIRE]

14. Eilenberg S. and Steenrod N., Foundations of Algebraic topology, Princeton Univ. Press, Princeton, N. J., 1952.

15. Engelking R., General topology, Monografie Matematyczne, Vol. 60, Polish Scientific Publishers, Warszawa, 1977.

29 references, page 1 of 2
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