Yang index of the deleted product
Author:
Simeon T. Stefanov
Journal:
Proc. Amer. Math. Soc. 128 (2000), 885-891
MSC (2000):
Primary 55M20
DOI:
https://doi.org/10.1090/S0002-9939-99-05576-8
Published electronically:
October 25, 1999
MathSciNet review:
1707531
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Abstract | References | Similar Articles | Additional Information
Abstract: For any a
-dimensional polyhedron
is constructed such that the Yang index of its deleted product
equals
. This answers a question of Izydorek and Jaworowski (1995). For any
a
-dimensional closed manifold
with involution is constructed such that
, but
can be mapped into a
-dimensional polyhedron without antipodal coincidence.
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- 2. M. W. Hirsch, Differential Topology, Springer-Verlag, New York, 1976. MR 56:6669; MR 96c:57001, corrected reprint
- 3. M. Izydorek, J. Jaworowski, Antipodal coincidence for maps of spheres into complexes, PAMS 123 (1995), 1947-1950. MR 96c:55002
- 4. E. V. \v{S}chepin, On a problem of L. A. Tumarkin, Dokl. Akad. Nauk SSSR 217 (1974), 42-43.
- 5.
B. R. Ummel, Imbedding classes and
-minimal complexes, PAMS 38 (1973), 201-206. MR 47:5883
- 6. W. T. Wu, A theory of imbedding, immersion and isotopy of polytopes in a euclidean space, Science Press, Peking, 1965.
- 7. C. T. Yang, On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson, I, Ann. Math. 60 (1954), 262-282. MR 16:502d
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Additional Information
Simeon T. Stefanov
Affiliation:
1 Suchodolska Str., B 13 Vh 2 Ap 32, 1373 Sofia, Bulgaria
Email:
s_simeon@hotmail.com
DOI:
https://doi.org/10.1090/S0002-9939-99-05576-8
Keywords:
Yang index,
deleted product,
antipodal coincidence
Received by editor(s):
December 18, 1995
Received by editor(s) in revised form:
September 5, 1996
Published electronically:
October 25, 1999
Communicated by:
Thomas Goodwillie
Article copyright:
© Copyright 1999
American Mathematical Society