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Keywords:
topological vector space; strongly preirresolute vector space
Summary:
In the paper we obtain several characteristics of pre-$T_2$ of strongly preirresolute topological vector spaces and show that the extreme point of a convex subset of a strongly preirresolute topological vector space $X$ lies on the boundary.
References:
[1] Horvath, J.: Topological Vector Spaces and Distributions. Addison-Wesley, London (1966). MR 0205028 | Zbl 0143.15101
[2] Kar, A., Bhattacharyya, P.: Some weak separation axioms. Bull. Calcutta Math. Soc. 82 (1990), 415-422. MR 1134225 | Zbl 0736.54013
[3] Mashhour, A. S., El-Monsef, M. E. Abd, El-Deep, S. N.: On precontinuous and weak precontinuous mappings. Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53. MR 0830896
[4] Mashhour, A. S., El-Monsef, M. E. Abd, Hasanein, I. A., Noiri, T.: Strongly compact spaces. Delta J. Sci. 8 (1984), 30-46.
[5] Mashhour, A. S., EL-Monsef, M. E. Abd, Hasanein, A. I.: On pre-topological spaces. Bull. Math Soc. Sci. Math. R. S. Roumaine 28 (1984), 39-45. MR 0744748
[6] Reilly, I. L., Vamanamurthy, M. K.: On $\alpha$-continuity in topological spaces. Acta Math. Hung. 45 (1985), 27-32. DOI 10.1007/BF01955019 | MR 0779514 | Zbl 0576.54014
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