Homotopy Characterization of ANR Function Spaces
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-01
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space.
Let YX denote the space of continuous maps from X to Y equipped with the compact open topology.
We show that if X is a compactly generated Tychonoff space and Y is not discrete, then YX is an ANR for metric spaces if and only if X is hemicompact and YX has the homotopy type of a CW complex.
American Psychological Association (APA)
Smrekar, Jaka. 2013. Homotopy Characterization of ANR Function Spaces. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1006350
Modern Language Association (MLA)
Smrekar, Jaka. Homotopy Characterization of ANR Function Spaces. Journal of Function Spaces No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1006350
American Medical Association (AMA)
Smrekar, Jaka. Homotopy Characterization of ANR Function Spaces. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1006350
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006350