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Topological degree of non-compact mappings

Published online by Cambridge University Press:  24 October 2008

J. G. Taylor
J. G. Taylor
Affiliation:
Department of Physics, Rutgers, The State University New Brunswick, New Jersey
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Abstract

We extend the notion of topological degree to a suitable class of continuous mappings of a locally convex Hausdorff topological vector space into itself which are not completely continuous. This extension and the resulting existence theorems for non-linear equations are further extended to product spaces. Our extension is developed with application to quantum field theory in mind; this application is made elsewhere.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 2 , April 1967 , pp. 335 - 347
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES AND NOTES

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(9) I would like to thank Professor Jane Cronin for raising this question with me, and suggesting a method of theorem 1 in section 2.Google Scholar
(10)A c denotes the complement of the set A in E.Google Scholar
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