Mapping spaces between manifolds and the evaluation map

Author:
Yves Felix

Journal:
Proc. Amer. Math. Soc. **139** (2011), 3763-3768

MSC (2010):
Primary 55P62; Secondary 55Q52

DOI:
https://doi.org/10.1090/S0002-9939-2011-10763-9

Published electronically:
February 17, 2011

MathSciNet review:
2813406

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let be a map between simply connected -dimensional manifolds. We suppose that deg. Then the injection of into the component Map of the mapping space containing induces an injection on the rational homotopy groups, and the evaluation at the base point map is zero on the rational homotopy groups of even dimension.

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Additional Information

**Yves Felix**

Affiliation:
Institut Mathematique, Université Catholique de Louvain, 2, Chemin du Cyclotron, 1348 Louvain-La-Neuve, Belgium

DOI:
https://doi.org/10.1090/S0002-9939-2011-10763-9

Received by editor(s):
July 17, 2010

Received by editor(s) in revised form:
August 16, 2010, and August 24, 2010

Published electronically:
February 17, 2011

Communicated by:
Brooke Shipley

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.