On strongly preirresolute topological vector spaces

N. Rajesh; V. Vijayabharathi

Mathematica Bohemica (2013)

  • Volume: 138, Issue: 1, page 37-42
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Rajesh, N., and Vijayabharathi, V.. "On strongly preirresolute topological vector spaces." Mathematica Bohemica 138.1 (2013): 37-42. <http://eudml.org/doc/252489>.

@article{Rajesh2013,
abstract = {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.},
author = {Rajesh, N., Vijayabharathi, V.},
journal = {Mathematica Bohemica},
keywords = {topological vector space; strongly preirresolute vector space; preopen set; strongly preirresolute vector space},
language = {eng},
number = {1},
pages = {37-42},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On strongly preirresolute topological vector spaces},
url = {http://eudml.org/doc/252489},
volume = {138},
year = {2013},
}

TY - JOUR
AU - Rajesh, N.
AU - Vijayabharathi, V.
TI - On strongly preirresolute topological vector spaces
JO - Mathematica Bohemica
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 138
IS - 1
SP - 37
EP - 42
AB - 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.
LA - eng
KW - topological vector space; strongly preirresolute vector space; preopen set; strongly preirresolute vector space
UR - http://eudml.org/doc/252489
ER -

References

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  1. Horvath, J., Topological Vector Spaces and Distributions, Addison-Wesley, London (1966). (1966) Zbl0143.15101MR0205028
  2. Kar, A., Bhattacharyya, P., Some weak separation axioms, Bull. Calcutta Math. Soc. 82 (1990), 415-422. (1990) Zbl0736.54013MR1134225
  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. (1982) MR0830896
  4. Mashhour, A. S., El-Monsef, M. E. Abd, Hasanein, I. A., Noiri, T., Strongly compact spaces, Delta J. Sci. 8 (1984), 30-46. (1984) 
  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. (1984) MR0744748
  6. Reilly, I. L., Vamanamurthy, M. K., 10.1007/BF01955019, Acta Math. Hung. 45 (1985), 27-32. (1985) Zbl0576.54014MR0779514DOI10.1007/BF01955019

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