Homotopic Chain Maps Have Equal 𝑠-Homology and 𝑑-Homology, By Mohammad Zaher Kazemi Baneh

Research

Title	Homotopic Chain Maps Have Equal 𝑠-Homology and 𝑑-Homology
Type	JournalPaper
Keywords	additive‎, ‎(pre) abelian category‎, ‎homotopy‎, ‎standard homology‎, ‎d-homology
Year	2016
Journal	International Journal of Mathematics and Mathematical Sciences
DOI
Researchers	Mohammad Zaher Kazemi Baneh

Abstract

‎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.