Suspending homotopy -spheres and embedding mapping cylinders in

Author:
R. C. Lacher

Journal:
Proc. Amer. Math. Soc. **27** (1971), 584-586

MSC:
Primary 57.05

MathSciNet review:
0271960

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Abstract: A property of maps between closed -manifolds, implied by cellularity and implying , is that the mapping cylinder embed locally in . It is not clear what topological properties are preserved under such maps. In the present note, we show that a closed -manifold admits such a map onto if and only if its suspension is .

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DOI:
https://doi.org/10.1090/S0002-9939-1971-0271960-9

Keywords:
Suspending homotopy -spheres,
maps between -manifolds,
embedding mapping cylinders,

Article copyright:
© Copyright 1971
American Mathematical Society