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Publication detail
ŠLAPAL, J.
Original Title
A categorical approach to convergence: compactness
Type
journal article in Web of Science
Language
English
Original Abstract
A convergence class is introduced on every object of a given category by using certain generalized nets for expressing the convergence. The obtained concrete category is then investigated whose objects are the pairs consisting of objects of the original category and convergence classes on them and whose morphisms are the morphisms of the original category that preserve the convergence. We define, in a natural way, separation and compactness of objects of the concrete category under investigation and study their behavior.
Keywords
comma category, convergence class, separated object, compact object, one-point compactifcation
Authors
Released
15. 2. 2016
Publisher
Elsevier
ISBN
0166-8641
Periodical
Topology and its Applications
Year of study
201
Number
1
State
Kingdom of the Netherlands
Pages from
78
Pages to
85
Pages count
8
URL
https://reader.elsevier.com/reader/sd/pii/S0166864115005581?token=E55CE6A067A4F0EFCECA71C648844855BC127C5CBCBDCEE63A763BD897C4BE78696C15152A6802E8814CA7965B73E6C6&originRegion=eu-west-1&originCreation=20211027132945
BibTex
@article{BUT114790, author="Josef {Šlapal}", title="A categorical approach to convergence: compactness", journal="Topology and its Applications", year="2016", volume="201", number="1", pages="78--85", doi="10.1016/j.topol.2015.12.027", issn="0166-8641", url="https://reader.elsevier.com/reader/sd/pii/S0166864115005581?token=E55CE6A067A4F0EFCECA71C648844855BC127C5CBCBDCEE63A763BD897C4BE78696C15152A6802E8814CA7965B73E6C6&originRegion=eu-west-1&originCreation=20211027132945" }