Characterisation of compactness through convergence in Tychonoff spaces
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- by C. G. Petalas and T. Vidalis PDF
- Proc. Amer. Math. Soc. 124 (1996), 633-636 Request permission
Abstract:
In this article we first give a characterisation of compact spaces among $T_{3.5}$ spaces by improving a theorem of J. Ewert. Then, with the aid of a new type of convergence, we give a characterisation of the pseudocompact and of the Lindelöf $T_{3.5}$ spaces.References
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Additional Information
- C. G. Petalas
- Affiliation: Department of Mathematics, University of Ioannina, Ioannina, Greece
- Email: cpetalas@cc.uoi.gr
- T. Vidalis
- Affiliation: Department of Mathematics, University of Ioannina, Ioannina, Greece
- Email: vidalis@cc.uoi.gr
- Received by editor(s): July 6, 1994
- Communicated by: Franklin D. Tall
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 633-636
- MSC (1991): Primary 54A20, 54C35, 54D30
- DOI: https://doi.org/10.1090/S0002-9939-96-03414-4
- MathSciNet review: 1328370