Article contents
Some results on extension of maps and applications
Published online by Cambridge University Press: 16 January 2019
Abstract
This paper concerns extension of maps using obstruction theory under a non-classical viewpoint. It is given a classification of homotopy classes of maps and as an application it is presented a simple proof of a theorem by Adachi about equivalence of vector bundles. Also it is proved that, under certain conditions, two embeddings are homotopic up to surgery if and only if the respective normal bundles are SO-equivalent.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 6 , December 2019 , pp. 1465 - 1472
- Copyright
- Copyright © Royal Society of Edinburgh 2019
Footnotes
Dedicated to Professor Gilberto Loibel, in memorian.
References
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