Title

Representation Space with Confluent Mappings

Abstract

Given a subclass P of the set N of all non-degenerate continua we say X ∈ ClƑ(P) if for every ε > 0 there are a continuum YP and a confluent ε-map ƒ : X → Y. This closure operator ClƑ gives a topology τƑ on the space N, see [1]. In this article we continue investigation of the topological space (NƑ), we establish interiors and closures of some natural classes of continua, we recall related results and pose several open problems. This gives us a new point of view on topological properties of some classes of continua and on confluent mappings.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Confluent mapping; Continuum; Fan; Inverse limit; Representation space; ε-Map

International Standard Serial Number (ISSN)

0166-8641

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 Elsevier, All rights reserved.

Publication Date

01 Apr 2017

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