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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Linear isotopies in $ E\sp{3}$


Author: Michael Starbird
Journal: Proc. Amer. Math. Soc. 65 (1977), 342-346
MSC: Primary 57A10; Secondary 57A35
MathSciNet review: 0454982
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Abstract: In this paper it is shown that if f and g are two PL embeddings of a finite complex K into $ {E^3}$ so that there is an orientation-preserving homeomorphism h of $ {E^3}$ with $ h \circ f = g$, then there is a triangulation T of K and a linear isotopy $ {h_t}:(K,T) \to {E^3}(t \in [0,1])$ so that $ {h_0} = f$ and $ {h_1} = g$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0454982-X
PII: S 0002-9939(1977)0454982-X
Keywords: Linear isotopy, linear embeddings
Article copyright: © Copyright 1977 American Mathematical Society