Cobordism of maps of locally orientable Witt space... - BV FAPESP
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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.)

Cobordism of maps of locally orientable Witt spaces

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Author(s):
Brasselet, Jean-Paul [1] ; Miwa Libardi, Alice Kimie [2] ; Rizziolli, Eliris Cristina [2] ; Saia, Marcelo Jose [3]
Total Authors: 4
Affiliation:
[1] Aix Marseille Univ, CNRS, Dept Math, I2M, Marseille - France
[2] Sao Paulo State Univ, Dept Math, Rio Claro - Brazil
[3] Univ Sao Paulo, Dept Math, Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: PUBLICATIONES MATHEMATICAE-DEBRECEN; v. 94, n. 3-4, p. 299-317, 2019.
Web of Science Citations: 0
Abstract

The aim of this work is to present some remarks on cobordism of normally nonsingular maps between compact locally orientable Witt spaces. By using the Wu classes defined by Goresky and Pardon, we give a definition of Stiefel-Whitney numbers in this situation. Following Stong's method, we construct a map in the respective intersection homology groups and show that null-cobordism implies the vanishing of these Stiefel-Whitney numbers. (AU)

FAPESP's process: 14/00304-2 - Singularities of differentiable mappings: theory and applications
Grantee:Maria Aparecida Soares Ruas
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 16/24707-4 - Algebraic, geometric and differential topology
Grantee:Daciberg Lima Gonçalves
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 15/06697-9 - Characteristic classes and intersection homology
Grantee:João Carlos Ferreira Costa
Support Opportunities: Research Grants - Visiting Researcher Grant - International