Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660665 | Topology and its Applications | 2006 | 7 Pages |
Abstract
Let X be a finite simply connected CW complex of dimension n . The loop space homology H∗(ΩX;Q)H∗(ΩX;Q) is the universal enveloping algebra of a graded Lie algebra LXLX isomorphic with π∗−1(X)⊗Qπ∗−1(X)⊗Q. Let QX⊂LXQX⊂LX be a minimal generating subspace, and set α=lim supilogrkπi(X)i.Theorem: If dimLX=∞dimLX=∞ and lim sup(dim(QX)k)1/k
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Yves Felix, Steve Halperin, Jean-Claude Thomas,