A manifold that does not contain a compact core

Authors

Gerard A. Venema, Calvin University

Document Type

Article

Publication Title

Topology and its Applications

Abstract

A core of a (noncompact) manifold is a submanifold with the property that the inclusion of the submanifold into the manifold is a homotopy equivalence. It is shown by example that a manifold may fail to contain a compact core even though the manifold has the homotopy type of a finite complex.

First Page

197

Last Page

210

DOI

10.1016/s0166-8641(97)00186-7

Publication Date

1-1-1998

Recommended Citation

Venema, Gerard A., "A manifold that does not contain a compact core" (1998). University Faculty Publications and Creative Works. 548.
https://digitalcommons.calvin.edu/calvin_facultypubs/548