An Everywhere Two-to-one Map

Abstract

We construct an example of an everywhere two-to-one map on a simply connected polyhedron. Such a map cannot be a local homeomorphism. We also consider the dynamics of map.

Department(s)

Mathematics and Statistics

Keywords and Phrases

05a; Combinatorics; Maps; Topology

International Standard Serial Number (ISSN)

1563-5120; 1023-6198

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2026 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 Jan 2009

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