The direct image of a vector bundle

The direct image of a vector bundle

It is well known that if M is a vector bundle over a space Y, and r: X → Y is a map, then there is an ‘induced’ vector bundle r*M over X. It is also known that a vector bundle L over X determines a ‘direct image’ vector bundle r* L over Y provided that r is a finite covering map ((1), § 1)....

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 1967-04, Vol.63 (2), p.315-334
1. Verfasser: Schwarzenberger, R. L. E.
Format: Artikel
Sprache:eng
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Zusammenfassung:It is well known that if M is a vector bundle over a space Y, and r: X → Y is a map, then there is an ‘induced’ vector bundle r*M over X. It is also known that a vector bundle L over X determines a ‘direct image’ vector bundle r* L over Y provided that r is a finite covering map ((1), § 1).
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100041232