LOOP SPACE HOMOLOGY OF SPACES OF SMALL CATEGORY

Authors
Citation
Y. Felix et Jc. Thomas, LOOP SPACE HOMOLOGY OF SPACES OF SMALL CATEGORY, Transactions of the American Mathematical Society, 338(2), 1993, pp. 711-721
Citations number
14
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00029947
Volume
338
Issue
2
Year of publication
1993
Pages
711 - 721
Database
ISI
SICI code
0002-9947(1993)338:2<711:LSHOSO>2.0.ZU;2-5
Abstract
Only little is known concerning H(OMEGAX; k) , the loop space homolog y of a finite CW complex X with coefficients in a field k. A space X i s called an r-cone if there exists a filtration = X0 subset-of X1 su bset-of ... subset-of X(r) = X, such that X(i) has the homotopy type o f the cofibre of a map from a wedge of sphere into X(i-1). Denote by A (X) the sub-Hopf algebra image of H(OMEGAX1). We prove then that for a graded r-cone, r less-than-or-equal-to 3, there exists an isomorphis m A(X) x T(U) --> congruent-to H(OMEGAX).