The genus of an abstract intersection sequence
Author:
Peter Percell
Journal:
Proc. Amer. Math. Soc. 55 (1976), 217-220
MSC:
Primary 57D40
DOI:
https://doi.org/10.1090/S0002-9939-1976-0405454-9
MathSciNet review:
0405454
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Abstract | References | Similar Articles | Additional Information
Abstract: An intersection sequence, denoted , is a combinatorial object associated with a normal immersion
where
is an oriented circle and
is a closed, connected, oriented
-manifold. The genus of
, denoted
, is defined to be the smallest number which is the genus of a manifold
admitting a realization
of
. A method is given for computing
from
.
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- [3] M. L. Marx, The Gauss realizability problem, Proc. Amer. Math. Soc. 22 (1969), 610-613. MR 39 #6297. MR 0244984 (39:6297)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1976-0405454-9
Keywords:
Normal immersion,
intersection sequence,
realization,
genus,
tubular neighborhood
Article copyright:
© Copyright 1976
American Mathematical Society