Title

T-Closed Sets

Abstract

A subset A of a continuum X is called Ƭ-closed set if Ƭ(A) = A, where Ƭ denotes the Jones Ƭ- function. We give a characterization of Ƭ-closed sets and then we show a counterexample to a hypothesis by David P. Bellamy, Leobardo Fernández and Sergio Macías about Ƭ-closed sets if Ƭ is idempotent on X.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Continuum; Continuumwise connected; Exhaustive σ-continuum; T-closed sets; The set function T

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.

Share

 
COinS