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Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Article

Homology of a Type of Pentahedron

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pp. 159–164Vol. 12Issue 2July 2014DOI: 10.1080/1726037X.2014.979713XML
Received:
08 Sep 2014
Accepted:
10 Oct 2014
Published Online:
03 Dec 2014
Article type:
Article
Language:
EN
Article no.:
1726037X.2014.979713
Pages:
159–164

Abstract

In this paper we find out the homology of a type of pentahedron with five vertices, and have shown that it is analogous with the homology of a chain complex, 0 →Rundefined→Rundefined→Rundefined→ 0 and also find out the singular homology and the Euler Characteristic of this type of pentahedron which is equal to undefined

Keywords

Subject Classifications

: 18G5518G3555U1518G20

References

  1. Henri Paul Cartan and Samuel Eilenberg, Homological Algebra , Princeton University Press , Princeton, 1956 .
  2. A.Hatcher,Algebraic Topology , Cambridge University Press , 2002 .
  3. CharlesA. Weibel, An Introduction to Homological Algebra , Cambridge University Press , 1994 .
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