Isotopy and homeomorphism
Author: Dennis Kibler
Journal: Proc. Amer. Math. Soc. 26 (1970), 499-502
MSC: Primary 54.28; Secondary 55.00
MathSciNet review: 0266148
Abstract: If and are isotopically equivalent topological spaces, they are not necessarily homeomorphic. If and are compact without boundary manifolds or -pure simplicial complexes, then isotopy equivalence implies topological equivalence. An example of compact manifolds with boundaries which are not homeomorphic but are isotopically equivalent is given.
Keywords: Isotopy equivalence, -pure simplicial complex, stringless simplicial complex
Article copyright: © Copyright 1970 American Mathematical Society