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Mathematical Proceedings of the Cambridge Philosophical Society
Article . 1971 . Peer-reviewed
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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On the homotopy-symmetry of sphere bundles

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Mar 1971 English Publisher:Cambridge University Press (CUP)Journal:Mathematical Proceedings of the Cambridge Philosophical Society, volume 69, pages 291-294 (issn: 0305-0041, eissn: 1469-8064, Copyright policy )
Authors: James, I. M.;

doi: 10.1017/s0305004100046648

On the homotopy-symmetry of sphere bundles

Abstract

1. Introduction: Let B be a space and let E be an orthogonal (m + 1)-sphere bundle over B with projection p: E → B. Consider the fibre-preserving map T: E → E which is given by the antipodal transformation in each of the fibres. Following (4) we say that E is homotopy-symmetric if there exists a fibre-preserving homotopy of T into the identity map. Since T maps the fibres with degree (– 1)m this condition requires m to be even.

Keywords

Sphere bundles and vector bundles in algebraic topology

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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