Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A complex which cannot be pushed around in $ E\sp{3}$

Author: Michael Starbird
Journal: Proc. Amer. Math. Soc. 63 (1977), 363-367
MSC: Primary 57A35
MathSciNet review: 0442945
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Abstract: This paper contains an example of a finite complex C with triangulation T which admits two linear embeddings f and g into $ {E^3}$ so that although there is an isotopy of $ {E^3}$ taking the embedding f to g there is no continuous family of linear embeddings of C starting at f and ending at g. No such example can exist in $ {E^2}$.

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Keywords: Linear isotopy, push
Article copyright: © Copyright 1977 American Mathematical Society