Euclidean -space modulo an -plane of collapsible -complexes

Author:
Leslie C. Glaser

Journal:
Trans. Amer. Math. Soc. **157** (1971), 261-278

MSC:
Primary 54.78

MathSciNet review:
0276943

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Abstract: The following general decomposition result is obtained: Suppose is a finite collapsible -complex topologically embedded as a subset of a separable metric space where, for some is homeomorphic to Euclidean -space . Then the Cartesian product of the quotient space with is topologically provided that and, for each simplex is homeomorphic, as pairs, to

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1971-0276943-5

Keywords:
Euclidean space,
-cell,
collapsible complex,
separable metric space,
quotient space,
Cartesian product,
a map bounded on the factor,
-flat,
-fold suspension,
pseudo-isotopy

Article copyright:
© Copyright 1971
American Mathematical Society