Use this link to cite:

http://hdl.handle.net/2183/35331

On local cross sections in topological abelian groups

Thumbnail Image

Files

DominguezX_2018_LocalCross_RRACEFNAM-113-2145.pdf (254.48 KB)

Identifiers

URI: http://hdl.handle.net/2183/35331
DOI: 10.1007/s13398-018-0599-4

Publication date

2018

Authors

Bello, Hugo J.
Chasco, MJ
Stevens, T. Christine

Advisors

Other responsabilities

Journal Title

Bibliographic citation

Bello, H. J., Chasco, M. J., Domínguez, X., & Stevens, T. C. (2019). On local cross sections in topological abelian groups. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113, 2145-2154. https://doi.org/10.1007/s13398-018-0599-4

Type of academic work

Academic degree

Abstract

[Abstract:] We introduce the notion of local pseudo-homomorphism between two topological abelian groups. We prove that it is closely related with the widely studied notions of local cross sections and splitting extensions in the category of topological abelian groups. In the final section we present an example of a non-splitting extension of (R, τν ) by R, where τν is a metrizable group topology on R weaker than the usual one. This extension admits a local cross section.

Description

Versión aceptada de https://doi.org/10.1007/s13398-018-0599-4

Keywords

Local cross section Extension of topological abelian groups Local pseudo-homomorphism Quasi-homomorphism Weakened Lie group

Editor version

https://doi.org/10.1007/s13398-018-0599-4

Rights

© Springer-Verlag Italia S.r.l., part of Springer Nature 2018

Collections

Investigación (ETSECCP)