Geodesic
Pairwise Borel and Baire measures in bispaces
Archivum mathematicum, Tome 41 (2005) no. 1, pp. 5-15 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 28C15, 28C99
Keywords: bispaces; pairwise Borel and Baire measures; pairwise regularity; pairwise content 
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Das, Pratulananda; Banerjee, Amar Kumar. Pairwise Borel and Baire measures in bispaces. Archivum mathematicum, Tome 41 (2005) no. 1, pp. 5-15. http://geodesic.mathdoc.fr/item/ARM_2005_41_1_a1/

[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). | MR | Zbl

[2] Berberian S. K.: Measure and integration. Chelsea Publishing Company, Bronx, New York (1965). | Zbl

[3] Das P., Samanta S. K.: Pseudo-topological spaces. Sains Malaysiana 21 (4) (1992), 101–107.

[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. | MR | Zbl

[6] Halmos P. R.: Measure Theory. Van Nostrand, New York (1950). | MR | Zbl

[7] Kelly J. C.: Biotopological spaces. Proc. Lond. Math. Soc. 13 (1963), 71–89. | MR

[8] Lahiri B. K., Das P.: Measures in bitopological spaces. Indian J. Pure Appl. Math. 27(10) (1996), 985–994. | MR | Zbl

[9] Lahiri B. K., Das P.: Measures in bitopoloical spaces - II. Indian J. Pure, Appl. Math. 29(5) (1998), 473–485. | MR

[10] Lahiri B. K., Das P.: Certain bitopological concepts in a bispace. Soochow J. Math. 27(2) (2001), 175–185. | MR | Zbl

[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. | MR

[12] Polexe R.: Measures sur del espaces bitopologiques. Buletinul Universitatii Din Brasov, Seria C, 28 (1986), 65–68. | MR

[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. | MR | Zbl

[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. | MR