On spaces of maps between complex projective spaces

Author:
Jesper Michael Møller

Journal:
Proc. Amer. Math. Soc. **91** (1984), 471-476

MSC:
Primary 55P15; Secondary 58D15

MathSciNet review:
744651

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Abstract: When , the space of maps of complex projective -space into complex projective -space has a countably infinite number of components enumerated by degrees of maps in . By calculating their -dimensional integral homology group we show that two components of are homotopy equivalent if and only if their associated degrees have the same absolute value.

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DOI:
https://doi.org/10.1090/S0002-9939-1984-0744651-4

Keywords:
Homotopy classification of components of mapping spaces,
restriction fibration,
primary obstruction,
Gysin sequence

Article copyright:
© Copyright 1984
American Mathematical Society