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Transactions of the American Mathematical Society

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Homotopy theory of minimal simplicial spaces


Author: Mark D. Pritt
Journal: Trans. Amer. Math. Soc. 322 (1990), 95-119
MSC: Primary 55U10
DOI: https://doi.org/10.1090/S0002-9947-1990-1010889-1
MathSciNet review: 1010889
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Abstract: Various aspects of homotopy theory in the category of minimal simplicial spaces are studied. It is shown that the usual results of homotopy theory hold in this category, and necessary and sufficient conditions are given under which a simplicial space has the homotopy type of a minimal simplicial space. Continuous cohomology in this category is also studied.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1990-1010889-1
Keywords: Simplicial space, minimal, continuous cohomology
Article copyright: © Copyright 1990 American Mathematical Society

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