希尔伯特立方体流形的Bing阶梯构造

General Topology and its Applications Pub Date : 1978-05-01 DOI:10.1016/0016-660X(78)90040-5

Michael Handel

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引用次数: 2

摘要

将Bing和Bryant的有限维技术推广到希尔伯特立方体流形，证明了MA × Q = M，其中M是希尔伯特立方体流形，a是1k, 0\ k\ k∞的嵌入副本，Q是希尔伯特立方体。在这里给出的推论中有两个定理的初等证明:映射柱面定理和希尔伯特立方因子的和定理。

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The Bing staircase construction for Hilbert cube manifolds

Finite dimensional techniques of Bing and Bryant are extended to Hilbert cube manifolds to show that $M A × Q = M$ where M is a Hilbert cube manifold, A is an embedded copy of 1^k, 0 $\ ̌$ k $\ ̌$ ∞, and Q is the Hilbert cube. Among the corollaries given here are elementary proofs of two theorems of West: the mapping cylinder theorem and the sum theorem for Hilbert cube factors.

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