Representation Space with Confluent Mappings
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 Y ∈ P and a confluent ε-map ƒ : X → Y. This closure operator ClƑ gives a topology τƑ on the space N, see . In this article we continue investigation of the topological space (N,τƑ), 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.
J. G. Anaya et al., "Representation Space with Confluent Mappings," Topology and its Applications, vol. 221, pp. 1 - 14, Elsevier, Apr 2017.
The definitive version is available at https://doi.org/10.1016/j.topol.2017.01.030
Mathematics and Statistics
Keywords and Phrases
Confluent mapping; Continuum; Fan; Inverse limit; Representation space; ε-Map
International Standard Serial Number (ISSN)
Article - Journal
© 2017 Elsevier, All rights reserved.
01 Apr 2017