A characterization of the connectivity of a manifold in terms of large open cells

Author:
R. Richard Summerhill

Journal:
Proc. Amer. Math. Soc. **45** (1974), 285-290

MSC:
Primary 57A60

DOI:
https://doi.org/10.1090/S0002-9939-1974-0380808-6

MathSciNet review:
0380808

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Abstract: If and are integers, , and is a topological -manifold without boundary, it is shown that is -connected if and only if there is a ``tame'' -dimensional closed subset in such that is homeomorphic to .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1974-0380808-6

Article copyright:
© Copyright 1974
American Mathematical Society