On Lusternik-Schnirelmann category, ideal-value genus and global classification of isolated singularities

• Grant number: 13/24845-0
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2014
• End date: May 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Denise de Mattos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

In this research project, we will consider problems related to the following topics.1. The Lusternik-Schnirelmann category, fibrations and applications.2. Ideal-value genus.3. Global classification of isolatedsingularities in dimensions $(6,3)$. (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DE MATTOS, DENISE; PERGHER, PEDRO L. Q.; DOS SANTOS, EDIVALDO L.; SINGH, MAHENDER. Zero sets of equivariant maps from products of spheres to Euclidean spaces. Topology and its Applications, v. 202, p. 7-20, APR 1 2016. (13/10353-8, 13/24845-0, 12/24454-8)

DE MATTOS, DENISE; DOS SANTOS, EDIVALDO L.; SOUZA, TACIANA O.. (H, G)-coincidence theorems for manifolds and a topological Tverberg type theorem for any natural number r. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v. 24, n. 4, p. 13-pg., 2017-01-01. (12/24454-8, 13/24845-0)

DE MATTOS, DENISE; DOS SANTOS, EDIVALDO L.; SOUZA, TACIANA O.. (H, G)-coincidence theorems for manifolds and a topological Tverberg type theorem for any natural number r. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v. 24, n. 4, SI, p. 567-579, 2017. (13/24845-0, 12/24454-8)

MARZANTOWICZ, WACAW; DE MATTOS, DENISE; DOS SANTOS, EDIVALDO L.. Bourgin-Yang versions of the Borsuk-Ulam theorem for p-toral groups. Journal of Fixed Point Theory and Applications, v. 19, n. 2, p. 1427-1437, JUN 2017. (13/10353-8, 13/24845-0, 12/24454-8)

THEODORO DE LIMA, JULIANA R.; DE MATTOS, DENISE. Ordering homotopy string links over surfaces. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v. 25, n. 1, JAN 2016. (14/08088-7, 10/10807-0, 13/24845-0, 12/24454-8)