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We introduce the notion of Lusternik-Schnirelmann category for differentiable stacks and establish its relation with the groupoid Lusternik-Schnirelmann category for Lie groupoids. This extends the notion of Lusternik-Schnirelmann category for smooth manifolds and orbifolds.

The Lusternik-Schnirelmann Category for a Differentiable Stack

Neumann, F
2017-01-01

Abstract

We introduce the notion of Lusternik-Schnirelmann category for differentiable stacks and establish its relation with the groupoid Lusternik-Schnirelmann category for Lie groupoids. This extends the notion of Lusternik-Schnirelmann category for smooth manifolds and orbifolds.
2017
Mathematics Across Contemporary Sciences. AUS-ICMS 2015. Springer Proceedings in Mathematics & Statistics, vol 190. Springer, Cham
Abualrub, T., Jarrah, A., Kallel, S., Sulieman, H.
WOS:000414221500001
2-s2.0-85012277525
Inglese
190
1
15
15
978-3-319-46309-4
978-3-319-46310-0
SPRINGER INTERNATIONAL PUBLISHING AG
GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Differentiable stacks; Lie groupoids; Orbifolds; LS-category
2 Contributo in Volume::2.1 Contributo in volume (Capitolo o Saggio)
3
268
none
Alsulami, S; Colman, H; Neumann, F
info:eu-repo/semantics/bookPart
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1478896
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