Continuous cohomology and real homotopy type
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- by Edgar H. Brown and Robert H. Szczarba
- Trans. Amer. Math. Soc. 311 (1989), 57-106
- DOI: https://doi.org/10.1090/S0002-9947-1989-0929667-6
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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.References
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Bibliographic Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 311 (1989), 57-106
- MSC: Primary 55N35; Secondary 55P62
- DOI: https://doi.org/10.1090/S0002-9947-1989-0929667-6
- MathSciNet review: 929667