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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Poincare duality for pairs (G,W)

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Author(s):
Carreira Andrade, Maria Gorete [1] ; Campello Fanti, Ermnia de Lourdes [1] ; Femina, Ligia Lais [2]
Total Authors: 3
Affiliation:
[1] Sao Paulo State Univ, UNESP, IBILCE, Dept Math, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] Univ Fed Uberlandia, FAMAT, BR-38408100 Uberlandia, MG - Brazil
Total Affiliations: 2
Document type: Journal article
Source: OPEN MATHEMATICS; v. 13, p. 363-371, MAY 28 2015.
Web of Science Citations: 1
Abstract

Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincare duality pair (G, W), the set of representatives for the G-orbits in W and the family of isotropy subgroups. We also prove, through a cohomological invariant, a necessary condition for a pair (G, W) to be a Poincare duality pair when W is infinite. (AU)

FAPESP's process: 12/24454-8 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants