Brick decompositions and -manifolds

Authors:
D. W. Curtis and G. Kozlowski

Journal:
Proc. Amer. Math. Soc. **72** (1978), 170-174

MSC:
Primary 57-XX

DOI:
https://doi.org/10.1090/S0002-9939-1978-0503555-X

MathSciNet review:
503555

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Abstract | References | Similar Articles | Additional Information

Abstract: A *brick decomposition* (respectively, *generalized brick decomposition*) of a metric space *Y* is a locally finite, star-finite closed cover such that each nonempty intersection , is a compact AR (respectively, locally compact AR). Let *K* be the nerve of the decomposition , let *Q* be the Hilbert cube, and point. Then (respectively, ).

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1978-0503555-X

Keywords:
Brick decomposition,
nerve of a cover,
simple homotopy type,
*Q*-manifold

Article copyright:
© Copyright 1978
American Mathematical Society