Homotopic Chain Maps Have Equal s-Homology and d-Homology
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-05
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The homotopy of chain maps on preabelian categories is investigated and the equality of standard homologies and d-homologies of homotopic chain maps is established.
As a special case, if X and Y are the same homotopy type, then their nth d-homology R-modules are isomorphic, and if X is a contractible space, then its nth d-homology R-modules for n≠0 are trivial.
American Psychological Association (APA)
Kazemi-Baneh, M. Z.. 2016. Homotopic Chain Maps Have Equal s-Homology and d-Homology. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1106316
Modern Language Association (MLA)
Kazemi-Baneh, M. Z.. Homotopic Chain Maps Have Equal s-Homology and d-Homology. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1106316
American Medical Association (AMA)
Kazemi-Baneh, M. Z.. Homotopic Chain Maps Have Equal s-Homology and d-Homology. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1106316
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106316