Article
On the locally finite chain algebra of a proper homotopy type
Author/s | Baues, Hans Joachim
Quintero Toscano, Antonio Rafael |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 1996 |
Deposit Date | 2016-11-21 |
Published in |
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Abstract | In the classical paper [A-H] Adams-Hilton constructed a free chain algebra
which is an important algebraic model of a simply connected homotopy type.
We show that this chain algebra (endowed with an additional structure ... In the classical paper [A-H] Adams-Hilton constructed a free chain algebra which is an important algebraic model of a simply connected homotopy type. We show that this chain algebra (endowed with an additional structure given by a “height function”) yields actually an invariant of a proper homotopy type. For this we introduce the homotopy category of locally finite chain algebras without using the usual methods of pro-categories. As examples we consider the locally finite chain algebras of Rn+1, S2×S2−{point}, and CP2−{point}. |
Citation | Baues, H.J. y Quintero Toscano, A.R. (1996). On the locally finite chain algebra of a proper homotopy type. Bulletin of the Belgian Mathematical Society Simon Stevin, 3 (2), 161-175. |
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