Realizing coalgebras over the Steenrod algebra

Authors
Blanc, D
Citation
D. Blanc, Realizing coalgebras over the Steenrod algebra, TOPOLOGY, 40(5), 2001, pp. 993-1016
Citations number
64
Categorie Soggetti
Mathematics
Journal title
TOPOLOGY
ISSN journal
00409383 → ACNP
Volume
40
Issue
5
Year of publication
2001
Pages
993 - 1016
Database
ISI
SICI code
0040-9383(200109)40:5<993:RCOTSA>2.0.ZU;2-H
Abstract
We describe algebraic obstruction theories for realizing an abstract (co)al gebra K-* over the mod p Steenrod algebra as the (co)homology of a topologi cal space., and for distinguishing between the p-homotopy types of differen t realizations. The theories are expressed in terms of the Quillen cohomolo gy of K-*. (C) 2001 Elsevier Science Ltd. All rights reserved.