Axioms of (Extended) d-homology Theory

Authors

  • Mohammad Zaher Kazemi Baneh Department of Mathematics, Faculty of Science, University of Kurdistan

DOI:

https://doi.org/10.30495/jme.v14i0.1043

Keywords:

singular (extended) d-homology, dimension axiom, homotopy axiom, excision axiom, exactness axiom.

Abstract

Abstract:

In this article, singular d-homology, singular extended d-homology, relative singular d-homology
and relative singular extended d-homology functors are introduced and some axioms, such as
dimension axiom, homotopy axiom, excision axiom and exactness axiom, of homology theory
relative to these homologies are investigated and are proved to hold.

Author Biography

Mohammad Zaher Kazemi Baneh, Department of Mathematics, Faculty of Science, University of Kurdistan

assistant professor, department of Mathematics, faculty of Science, University of Kurdistan.

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Published

2019-04-10

Issue

Section

Vol. 14, No. 1, (2020)