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Research Article

LIE ALGEBRA BUNDLES OF FINITE TYPE AND NUMERABLE BUNDLES

K
K. Kamalakshi Department of Mathematics, Field Marshal K. M. Cariappa College, Madikeri, Kodagu - 571201, Karnataka, INDIA
R
R. Rajendra Department of Mathematics, Field Marshal K. M. Cariappa College, Madikeri, Kodagu - 571201, Karnataka, INDIA
Volume 19, Issue 3 Pages 253-260 December 30, 2023 226 downloads
Article overview

Abstract

In this paper, we study the relation between numerable Lie algebra bundle and Lie algebra bundle of finite type. The effect of finite type on shrinkable maps and homotopy equivalence are examined. Further, we obtain some results on Section Extension Property, Covering Homotopy Property and Weak Covering Homotopy Property for Lie algebra bundles of finite type. 

Keywords and Phrases

Lie algebra bundles of finite typeuniversal bundleshrinkable mapshomotopynumerable coveringnumerable bundle.

AMS Subject Classification

17BXX, 18AXX, 55PXX, 55P10, 55RXX, 57R22.

Reference information

How to Cite

K. Kamalakshi, R. Rajendra (2023). LIE ALGEBRA BUNDLES OF FINITE TYPE AND NUMERABLE BUNDLES. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 253-260.
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