Homology manifolds and homogeneous compacta
Abstract
A non-trivial separable metric space X is called an almost homology n-manifold if the homology groups Hk(X,X\x\, Z) are trivial for all x∈ X and all k=0,1,..,n-1. We provide a necessary and sufficient condition locally compact homogeneous ANR-spaces or strongly locally homogeneous ANR-spaces to be almost homology n-manifolds.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.