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Spaces of rational loops on a real projective space
Author(s):
Jacob
Mostovoy
Journal:
Trans. Amer. Math. Soc.
353
(2001),
1959-1970.
MSC (2000):
Primary 26C15, 55P35
Posted:
January 3, 2001
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Abstract:
We show that the loop spaces on real projective spaces are topologically approximated by the spaces of rational maps  . As a byproduct of our constructions we obtain an interpretation of the Kronecker characteristic (degree) of an ornament via particle spaces.
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Additional Information:
Jacob
Mostovoy
Affiliation:
Instituto de Matemáticas (Unidad Cuernavaca), Universidad Nacional Autónoma de México, A.P. 273-3, C.P. 62251, Cuernavaca, Morelos, México
Email:
jacob@matcuer.unam.mx
DOI:
10.1090/S0002-9947-01-02644-7
PII:
S 0002-9947(01)02644-7
Keywords:
Loop space,
rational map,
ornament,
Kronecker characteristic
Received by editor(s):
June 2, 1998
Received by editor(s) in revised form:
October 18, 1999
Posted:
January 3, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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