Local homeomorphisms via ultrafilter convergence
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- by Maria Manuel Clementino, Dirk Hofmann and George Janelidze PDF
- Proc. Amer. Math. Soc. 133 (2005), 917-922 Request permission
Abstract:
Using the ultrafilter-convergence description of topological spaces, we generalize Janelidze-Sobral characterization of local homeomorphisms between finite topological spaces, showing that local homeomorphisms are the pullback-stable discrete fibrations.References
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Additional Information
- Maria Manuel Clementino
- Affiliation: Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal
- Email: mmc@mat.uc.pt
- Dirk Hofmann
- Affiliation: Departamento de Matemática, Universidade de Aveiro, 3810-193 Aveiro, Portugal
- Email: dirk@mat.ua.pt
- George Janelidze
- Affiliation: A. Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi, Georgia
- Email: gjanel@rmi.acnet.ge
- Received by editor(s): May 30, 2003
- Received by editor(s) in revised form: November 8, 2003
- Published electronically: August 24, 2004
- Additional Notes: The authors acknowledge partial financial assistance by Centro de Matemática da Universidade de Coimbra/FCT and Unidade de Investigação e Desenvolvimento Matemática e Aplicações da Universidade de Aveiro/FCT
- Communicated by: Alan Dow
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 917-922
- MSC (2000): Primary 54C10, 54A20, 54B30, 18A20, 18B30
- DOI: https://doi.org/10.1090/S0002-9939-04-07569-0
- MathSciNet review: 2113944