Good coverings for section spaces of fibre bundles

Mauro Spera; Tilmann Wurzbacher

doi:10.1016/j.topol.2010.01.008

Good coverings for section spaces of fibre bundles

Mauro Spera^*
, Tilmann Wurzbacher

^*Autore corrispondente per questo lavoro

Université de Lorraine

Risultato della ricerca: Contributo in rivista › Articolo › peer review

2 Citazioni (Scopus)

Abstract

In this note, existence of good coverings for section\r\nspaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L^2-metric, via the construction of strongly convex\r\nneighbourhoods, in close analogy with the finite dimensional case.

Lingua originale	Inglese
pagine (da-a)	1081-1085
Numero di pagine	5
Rivista	Topology and its Applications
Volume	157
Numero di pubblicazione	N/A
DOI	https://doi.org/10.1016/j.topol.2010.01.008
Stato di pubblicazione	Pubblicato - 2010

All Science Journal Classification (ASJC) codes

Geometria e Topologia

Keywords

fibre bundles
good covering
section spaces

Accesso al documento

10.1016/j.topol.2010.01.008

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title = "Good coverings for section spaces of fibre bundles",

abstract = "In this note, existence of good coverings for section\textbackslash{}r\textbackslash{}nspaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L\textasciicircum{}2-metric, via the construction of strongly convex\textbackslash{}r\textbackslash{}nneighbourhoods, in close analogy with the finite dimensional case.",

keywords = "fibre bundles, good covering, section spaces, fibre bundles, good covering, section spaces",

author = "Mauro Spera and Tilmann Wurzbacher",

year = "2010",

doi = "10.1016/j.topol.2010.01.008",

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AU - Spera, Mauro

AU - Wurzbacher, Tilmann

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AB - In this note, existence of good coverings for section\r\nspaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L^2-metric, via the construction of strongly convex\r\nneighbourhoods, in close analogy with the finite dimensional case.

KW - fibre bundles

KW - good covering

KW - section spaces

KW - fibre bundles

KW - good covering

KW - section spaces

UR - https://publicatt.unicatt.it/handle/10807/35975

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Good coverings for section spaces of fibre bundles

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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