Weak selections and pseudocompactness
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- by S. Garcia-Ferreira and M. Sanchis PDF
- Proc. Amer. Math. Soc. 132 (2004), 1823-1825 Request permission
Abstract:
We prove that every pseudocompact space that admits a weak selection is sequentially compact.References
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Additional Information
- S. Garcia-Ferreira
- Affiliation: Instituto de Matemáticas (UNAM), Apartado Postal 61-3, Xangari, 58089, Morelia, Michoacán, México
- Email: sgarcia@matmor.unam.mx
- M. Sanchis
- Affiliation: Departament de Matemàtiques, Universitat Jaume I, Campus Riu Sec, 12071, Castelló, Spain
- Email: sanchis@mat.uji.es
- Received by editor(s): August 6, 2001
- Received by editor(s) in revised form: May 3, 2002
- Published electronically: January 22, 2004
- Additional Notes: The first author thanks the generous hospitality and support received from the Department of Mathematics of University of Jaume I (Generalitat Valenciana INVO1-58), and the financial aid received from the DGAPA-UNAM during the period July-December of 2001.
- Communicated by: Alan Dow
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1823-1825
- MSC (2000): Primary 54C65, 54D99; Secondary 54A20
- DOI: https://doi.org/10.1090/S0002-9939-04-06872-8
- MathSciNet review: 2051146