Title
Connectedness In Spaces Of Pseudoquotients
Keywords
Actions of semigroups; Connected; Locally connected; Locally path connected; Path connected; Quotient topology
Abstract
A space of pseudoquotients, denoted by ℬ(X, S), is defined as equivalence classes of pairs (x, f), where x is an element of a non-empty set X, f is an element of S, a commutative semigroup of injective maps from X to X, and (x, f) ∼ (y, g) if gx = fy. A topology on X induces a topology on ℬ(x, S). We show that connectedness of X implies connectedness of ℬ(x, S). © 2011 Topology Proceedings.
Publication Date
8-31-2012
Publication Title
Topology Proceedings
Volume
40
Number of Pages
283-288
Document Type
Article; Proceedings Paper
Personal Identifier
scopus
Copyright Status
Unknown
Socpus ID
84865434554 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84865434554
STARS Citation
Mikusiński, Piotr and Purtee, Steven A., "Connectedness In Spaces Of Pseudoquotients" (2012). Scopus Export 2010-2014. 4454.
https://stars.library.ucf.edu/scopus2010/4454