Pairwise Borel and Baire measures in bispaces

Pratulananda Das; Amar Kumar Banerjee

Archivum Mathematicum (2005)

  • Volume: 041, Issue: 1, page 5-15
  • ISSN: 0044-8753

Abstract

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In this paper we continue the study of the concepts of pairwise Borel and Baire measures in a bispace, recently introduced in [10]. We investigate some of its consequences including the problem of a pairwise regular Borel extension of a pairwise Baire measure.

How to cite

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Das, Pratulananda, and Banerjee, Amar Kumar. "Pairwise Borel and Baire measures in bispaces." Archivum Mathematicum 041.1 (2005): 5-15. <http://eudml.org/doc/249478>.

@article{Das2005,
abstract = {In this paper we continue the study of the concepts of pairwise Borel and Baire measures in a bispace, recently introduced in [10]. We investigate some of its consequences including the problem of a pairwise regular Borel extension of a pairwise Baire measure.},
author = {Das, Pratulananda, Banerjee, Amar Kumar},
journal = {Archivum Mathematicum},
keywords = {bispaces; pairwise Borel and Baire measures; pairwise regularity; pairwise content; pairwise regularity; pairwise content},
language = {eng},
number = {1},
pages = {5-15},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Pairwise Borel and Baire measures in bispaces},
url = {http://eudml.org/doc/249478},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Das, Pratulananda
AU - Banerjee, Amar Kumar
TI - Pairwise Borel and Baire measures in bispaces
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 5
EP - 15
AB - In this paper we continue the study of the concepts of pairwise Borel and Baire measures in a bispace, recently introduced in [10]. We investigate some of its consequences including the problem of a pairwise regular Borel extension of a pairwise Baire measure.
LA - eng
KW - bispaces; pairwise Borel and Baire measures; pairwise regularity; pairwise content; pairwise regularity; pairwise content
UR - http://eudml.org/doc/249478
ER -

References

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  1. Alexandroff A. D., Additive set functions in abstract spaces, (a) Mat. Sb. (N.S.) 8 50 (1940), 307–348. (English, Russian Summary). (b) ibid., 9 51 (1941), 563–628, (English, Russian Summary). (1940) Zbl0023.39701MR0004078
  2. Berberian S. K., Measure and integration, Chelsea Publishing Company, Bronx, New York (1965). (1965) Zbl0126.08001
  3. Das P., Samanta S. K., Pseudo-topological spaces, Sains Malaysiana 21 (4) (1992), 101–107. (1992) 
  4. Das P., Rashid M. A., Certain separation axioms in a space, Korean J. Math. Sci. 7 (2000), 81–93. 
  5. Das P., Rashid M. A., g * -closed sets and a new separation axiom in Alexandroff spaces, Arch. Math. (Brno) 30 (2003), 299–307. Zbl1073.54500MR2032103
  6. Halmos P. R., Measure Theory, Van Nostrand, New York (1950). (1950) Zbl0040.16802MR0033869
  7. Kelly J. C., Biotopological spaces, Proc. Lond. Math. Soc. 13 (1963), 71–89. (1963) MR0143169
  8. Lahiri B. K., Das P., Measures in bitopological spaces, Indian J. Pure Appl. Math. 27(10) (1996), 985–994. (1996) Zbl0871.54036MR1412032
  9. Lahiri B. K., Das P., Measures in bitopoloical spaces - II, Indian J. Pure, Appl. Math. 29(5) (1998), 473–485. (1998) MR1621526
  10. Lahiri B. K., Das P., Certain bitopological concepts in a bispace, Soochow J. Math. 27(2) (2001), 175–185. Zbl0985.54028MR1838570
  11. Mashhour A. S., Allam A. A., Mahmoud A. A., Khedr F. H., On Supra-topological spaces, Indian J. Pure Appl. Math. 14 (4) (1983), 502–510. (1983) MR0707797
  12. Polexe R., Measures sur del espaces bitopologiques, Buletinul Universitatii Din Brasov, Seria C, 28 (1986), 65–68. (1986) MR0919034
  13. Swart J., Total disconnectedness in bitopological spaces and product bitopological spaces, Nederl Akad. Wet., Proc., Ser. A 74, Indag Math. 33 (1971), 135–145. (1971) Zbl0214.21106MR0305367
  14. Varadarajan V. S., Measures on topological spaces, (Russian), Mat. Sb. (N.S.) 55, 97 (1961), 33–100, Amer. Math. Soc. Translations 2, 78 (1965), 161–228. (1961) MR0148838

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