Compact groups and absolute extensors
Alex Chigogidze
Abstract
We discuss compact Hausdorff groups from the point of view of the general theory of absolute extensors. In particular, we characterize the class of simple, connected and simply connected compact Lie groups as AE(2)-groups the third homotopy group of which is Z. This is the converse of the corresponding result of R. Bott.
Create a lesson
Related papers
Ultrafilter characters and local π-bases
Jerzy Kcakol
Countable compactness is A-invariant
ZhouXiang Huang
The size of the poset of compatible locally quasi-convex topologies on locally compact abelian groups
ZhouXiang Huang
A Universal Quasi-Polish Space
Su Gao, Qingguo Li, Hualin Miao
Metrizable and Fréchet--Urysohn subgroups and linear subspaces of topological vector spaces
Arkady Leiderman, Evgenii Reznichenko, Ol'ga Sipacheva
Nonexpansive Bijections in T0-Quasi-Metric Spaces and Their q-Hyperconvex Hulls
Collins Amburo Agyingi