On Peripheral Connectedness

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Authors

  • M K Das
     S N Bose School of Mathematics and Mathematical Physics, Calcutta Mathematical Society, Calcutta, West Bengal ,IN
  • M R Adhikari
     Department of Mathematics, Burdwan University, Burdwan, West Bengal ,IN

Keywords:

Peripherically Homologically and Cohomologically Locally Connected Spaces, Homologically Locally Connected Spaces

Abstract

Rote' ha.s proved that if the locally compact, metric space X is peripherically cohomologically locally connected, then X is peripherically homologicully locally connected. However the converse has been proved by him assuming that X is homologically locally connected. In this note we prove the above conver.se in .some general cases

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Published

1992-01-01

How to Cite

Das, M. K., & Adhikari, M. R. (1992). On Peripheral Connectedness. Indian Science Cruiser, 6(1), 24–26. Retrieved from http://www.informaticsjournals.com/index.php/ISC/article/view/42767

Issue

Volume 6, Issue 1, 1992

Section

Research Report

 

References

D Role, Peripherical Cohomologieal Local Connectedness, Fund Math, Vol 116, No 1, p 53-66, 1983.

EH Spainer, Algebraic Topology, McGraw-Hill, 1966.

E G Sklyarenko, Homology Theory and Exactness Axoim, Uspekhi Math N, Vol 19, No 6, p 47-70, 1964.

A E Harlap, Local Homology and Cohomology, Homology Dimension and Generalised Manifold, Mat Sb, Vol 96, No 3, p 347-372, 1975.

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