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- W2498234406 abstract "The notion of homological dimension was introduced by P. S. Alexandroff in the later 1920's. The further contribution to the development of homological dimension theory on compact metric spaces was made by L. S. Pontrjagin [2], K. Borsuk [3], M. F. Bokshtein [4], V. G. Boltynanski [5], E. Dyer [6], Y. Kodama [7,8], V.I. Kuz'minov [9] and others. New achievement of the theory are surveyed in [10]. In this paper we do not consider homological dimension theory out of compact metric spaces. Moreover everywhere in this paper cohomological language is used instead of homological one, and therefore a dual notion of cohomological dimension is considered. A compact metric space X has cohomological dimension with respect to an abelian group G equal or less than n (written, c-dimGX^n) iff for an arbitrary closed subset AaX and an arbitrary integer k^n, the inclusion A―≫-Xinduces an epimorphism of ^-dimensional Cech cohomology groups with coefficients." @default.
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- W2498234406 date "1990-01-01" @default.
- W2498234406 modified "2023-09-27" @default.
- W2498234406 title "GENERALIZED COHOMOLOGICAL DIMENSION OF COMPACT METRIC SPACES DedicatedtoprofessorYukihiroKodama on his60th birthday" @default.
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