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- W123472101 abstract "This chapter presents a survey of results concerning the covering dimension of general topological spaces without any separation axiom, together with some related results. There are several results in homotopy theory of CW-complexes that require dimensional restriction. One of the fundamental theorems in dimension theory is the sum theorem. The small inductive dimension does not satisfy the finite sum theorem even in metric spaces. For any topological space X, three kinds of dimension functions can be defined: (1) the small inductive dimension ind X, (2) the large inductive dimension Ind X, and (3) the covering dimension dim X." @default.
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- W123472101 date "1980-01-01" @default.
- W123472101 modified "2023-09-23" @default.
- W123472101 title "DIMENSION OF GENERAL TOPOLOGICAL SPACES" @default.
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- W123472101 doi "https://doi.org/10.1016/b978-0-12-584960-9.50015-8" @default.
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