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Algebraic invariants for homotopy types

Published online by Cambridge University Press:  01 November 1999

DAVID BLANC
DAVID BLANC
Affiliation:
Department of Mathematics, University of Haifa, 31905 Haifa, Israel; e-mail: blanc@math.haifa.ac.il
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Abstract

We define a sequence of purely algebraic invariants – namely, classes in the Quillen cohomology of the Π-algebra π∗X – 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 3 , November 1999 , pp. 497 - 523
Copyright
© The Cambridge Philosophical Society 1999

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