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

 

Subspaces of knot spaces


Authors: Craig Benham, Xiao-Song Lin and David Miller
Journal: Proc. Amer. Math. Soc. 129 (2001), 3121-3127
MSC (1991): Primary 57M25, 53A04; Secondary 92B05
Published electronically: March 29, 2001
MathSciNet review: 1840119
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Abstract:

The inclusion of the space of all knots of a prescribed writhe in a particular isotopy class into the space of all knots in that isotopy class is a weak homotopy equivalence.


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Additional Information

Craig Benham
Affiliation: Department of Biomathematical Sciences, Mount Sinai School of Medicine, One Gustave Levy Place, New York, New York 10029
Email: BENHAM@msvax.mssm.edu

Xiao-Song Lin
Affiliation: Department of Mathematics, University of California Riverside, Riverside, California 92521
Email: xl@math.ucr.edu

David Miller
Affiliation: Department of Mathematics, William Paterson University, Wayne, New Jersey 07470
Email: damiller@pilot.njin.net

DOI: http://dx.doi.org/10.1090/S0002-9939-01-05913-5
PII: S 0002-9939(01)05913-5
Keywords: Knots, writhe, DNA topology, knot spaces
Received by editor(s): June 28, 1999
Received by editor(s) in revised form: March 6, 2000
Published electronically: March 29, 2001
Additional Notes: The first author was supported in part by NIH Grant RO1-GM47012
The second author was supported in part by NSF Grant DMS-9704726
The third author was supported in part by NSF Grant DMS-9732675
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2001 American Mathematical Society