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On Peripheral Connectedness


Affiliations
1 S N Bose School of Mathematics and Mathematical Physics, Calcutta Mathematical Society, Calcutta, West Bengal, India
2 Department of Mathematics, Burdwan University, Burdwan, West Bengal, India
     

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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

Keywords

Peripherically Homologically and Cohomologically Locally Connected Spaces, Homologically Locally Connected Spaces
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  • 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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  • 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, India
M R Adhikari
Department of Mathematics, Burdwan University, Burdwan, West Bengal, India

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

Keywords


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

References