Homeomorphisms of a certain cube with holes

Myers, Donald

doi:10.1090/S0002-9947-1974-0348749-2

Homeomorphisms of a certain cube with holes
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Trans. Amer. Math. Soc. 191 (1974), 289-299 Request permission

Abstract:

For some manifolds the group of isotopy classes of self-homeomorphisms is known. In this paper this group is computed for a well-known cube with two holes. Two related manifolds are defined and the groups of isotopy classes on these manifolds are given without proof. One of these cubes with holes is such that every homeomorphism is isotopic to the identity.

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Homeomorphisms on cubes with holes

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