LIE ALGEBRA BUNDLES OF FINITE TYPE AND NUMERABLE BUNDLES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 31

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.20
Author :
K. Kamalakshi (Department of Mathematics, Field Marshal K. M. Cariappa College, Madikeri, Kodagu - 571201, Karnataka, INDIA)
R. Rajendra (Department of Mathematics, Field Marshal K. M. Cariappa College, Madikeri, Kodagu - 571201, Karnataka, INDIA)

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 type, universal bundle, shrinkable maps, homotopy, numerable covering, numerable bundle.

A.M.S. subject classification

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

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