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What is Self-Closeness Numbers in Topology about?
The document discusses the self-closeness number N E(X) of non-simply-connected spaces, defining it as the least integer k such that any self-map is a homotopy equivalence when it induces isomorphisms in the n-th homotopy group for n ≤ k. The author presents conditions under which the self-closeness number of a space equals that of its universal covering space, and provides several theorems and examples illustrating the computation of self-closeness numbers for various non-simply-connected spaces. The paper
- Author
- 童浥尘
- Language
- EN