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Degree One Maps and a Realization Theorem

Published online by Cambridge University Press:  20 November 2018

Anant R. Shastri
Anant R. Shastri*
Affiliation:
Tata Institute of Fundamental Research, Bombay, India
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In [8] we classified degree one maps denned on Sp × Sg × Sr. In this paper we shall study degree one maps defined on the n-dimensional torus T = Sl × Sl × … × S1 as well as certain general properties of degree one maps. Theorem 1.1 must be known to experts; however we could not find it in the literature. Theorem 1.5 b) says that a Poincaré complex is nilpotent if it admits a degree one map from another nilpotent Poincaré complex. Theorem 1.5 a) means that certain stable properties are preserved by degree one maps and we use it later in Section 2.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 34 , Issue 4 , 01 August 1982 , pp. 769 - 796
Copyright
Copyright © Canadian Mathematical Society 1982

References

References>

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