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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Homeomorphisms of a certain cube with holes


Author: Donald Myers
Journal: Trans. Amer. Math. Soc. 191 (1974), 289-299
MSC: Primary 57A10
DOI: https://doi.org/10.1090/S0002-9947-1974-0348749-2
MathSciNet review: 0348749
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1974-0348749-2
Keywords: 3-manifolds, homeomorphisms, cubes with holes, C-homeomorphisms
Article copyright: © Copyright 1974 American Mathematical Society