Separation theorems and properties of the general position in generalized manifolds

• Grant number: 13/10353-8
• Support Opportunities: Regular Research Grants
• Start date: July 01, 2013
• End date: June 30, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edivaldo Lopes dos Santos
• Grantee: Edivaldo Lopes dos Santos
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The objective of this project is to study the properties of the topological spaces known as generalized manifolds. Such spaces have the same homological and cohomological behavior of the topological manilfolds. Specifically we will approach two problems related to these spaces. The first one consists of establishing separation theorems for codimendion 1 map between generalized manifolds. The second problem consists of determining conditions so that a generalized manifold has been the property of general position DADP (disjoint arc-disk property). (AU)

Scientific publications

(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)

COELHO, FRANCIELLE R. DE C.; DOS SANTOS, EDIVALDO L.. (H, G)-coincidence theorems for free G-spaces. Topology and its Applications, v. 206, p. 158-165, JUN 15 2016. (12/24454-8, 13/10353-8)

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)

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)