LIE ALGEBRA BUNDLES OF FINITE TYPE AND NUMERABLE BUNDLES

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.