Finite-dimensional complement theorems: examples and results

Authors:
R. B. Sher and G. A. Venema

Journal:
Proc. Amer. Math. Soc. **103** (1988), 299-306

MSC:
Primary 57N25; Secondary 54C56

DOI:
https://doi.org/10.1090/S0002-9939-1988-0938687-1

MathSciNet review:
938687

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Abstract | References | Similar Articles | Additional Information

Abstract: Examples are given which show the necessity of various hypotheses in the known finite dimensional complement theorems. In addition, several positive results are presented which improve one direction of such theorems.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1988-0938687-1

Keywords:
Shape theory,
complement theorems,
fundamental dimension,
inessential loops condition,
knot exteriors

Article copyright:
© Copyright 1988
American Mathematical Society