Author: Arruda Saraiva, Lyngnys

Source: Acta Mathematica Hungarica, Volume 132, Numbers 1-2, July 2011 , pp. 168-173(6)

Publisher: Springer

Abstract:

A definition of a generalized quotient topology is given and some characterizations of this concept, up to generalized homeomorphisms, are furnished. For the first approach, we exhibit a monotonic map spanning that generalized quotient topology. We also prove that the notions of generalized normality and generalized compactness are preserved by those quotient structures.

Keywords: generalized quotient topology; decomposition space; natural map; 54A05; 54B15; 54C10

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10474-010-0047-1

Affiliations: 1: ICAD, Universidade Federal da Bahia, CEP, 47.805-100, Barreiras, BA, Brazil, Email: lyngnys@ufba.br

Publication date: 2011-07-01

Related content

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics
• By this author: Arruda Saraiva, Lyngnys

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers