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Journal Article
Continuous Cohomology and Real Homotopy Type
Edgar H. Brown, Jr. and Robert H. Szczarba
Transactions of the American Mathematical Society
Vol. 311, No. 1 (Jan., 1989), pp. 57-106
Published
by: American Mathematical Society
DOI: 10.2307/2001017
https://www.jstor.org/stable/2001017
Page Count: 50
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Topics: Algebra, Mathematical theorems, Topological theorems, Algebraic topology, Commutativity, Topological compactness, Topological vector spaces, Equivalence relation
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Abstract
Various aspects of homotopy theory in the category of simplicial spaces are developed. Topics covered include continuous cohomology, continuous de Rham cohomology, the Kan extension condition, the homotopy relation, fibrations, the Serre spectral sequence, real homotopy type and its relation to graded commutative differential algebras over the reals.
Transactions of the American Mathematical Society
© 1989 American Mathematical Society