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A Note on Homotopy Invariance of Tangent Bundles

Published online by Cambridge University Press:  22 January 2016

Hiroyasu Ishimoto*
Affiliation:
Kanazawa University
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Although tangent bundles of manifolds are not always homotopically invariant, but in some categories of the manifolds they can be homotopically invariant.

In this note, I show that tangent bundles of π-manifolds and almost parallelizable manifolds depend only on their homotopy types.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

References

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