Algebraic invariants for homotopy types

David Blanc

doi:10.1017/S030500419900393X

Algebraic invariants for homotopy types

David Blanc

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We define a sequence of purely algebraic invariants - namely, classes in the Quillen cohomology of the Π-algebra π_*Χ - for distinguishing between different homotopy types of spaces. Another sequence of such cohomology classes allows one to decide whether a given abstract Π-algebra can be realized as the homotopy Π-algebra of a space.

Original language	English
Pages (from-to)	497-523
Number of pages	27
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	127
Issue number	3
DOIs	https://doi.org/10.1017/S030500419900393X
State	Published - Nov 1999

ASJC Scopus subject areas

General Mathematics

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Algebraic invariants for homotopy types

Abstract

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