| Title:
|
Pairwise Borel and Baire measures in bispaces (English) |
| Author:
|
Das, Pratulananda |
| Author:
|
Banerjee, Amar Kumar |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
5-15 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
bispaces |
| Keyword:
|
pairwise Borel and Baire measures |
| Keyword:
|
pairwise regularity |
| Keyword:
|
pairwise content |
| MSC:
|
28C15 |
| MSC:
|
28C99 |
| idZBL:
|
Zbl 1115.28014 |
| idMR:
|
MR2142139 |
| . |
| Date available:
|
2008-06-06T22:44:57Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107931 |
| . |
| Reference:
|
[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). Zbl 0023.39701, MR 0004078 |
| Reference:
|
[2] Berberian S. K.: Measure and integration.Chelsea Publishing Company, Bronx, New York (1965). Zbl 0126.08001 |
| Reference:
|
[3] Das P., Samanta S. K.: Pseudo-topological spaces.Sains Malaysiana 21 (4) (1992), 101–107. |
| Reference:
|
[4] Das P., Rashid M. A.: Certain separation axioms in a space.Korean J. Math. Sci. 7 (2000), 81–93. |
| Reference:
|
[5] Das P., Rashid M. A.: $g^*$-closed sets and a new separation axiom in Alexandroff spaces.Arch. Math. (Brno) 30 (2003), 299–307. Zbl 1073.54500, MR 2032103 |
| Reference:
|
[6] Halmos P. R.: Measure Theory.Van Nostrand, New York (1950). Zbl 0040.16802, MR 0033869 |
| Reference:
|
[7] Kelly J. C.: Biotopological spaces.Proc. Lond. Math. Soc. 13 (1963), 71–89. MR 0143169 |
| Reference:
|
[8] Lahiri B. K., Das P.: Measures in bitopological spaces.Indian J. Pure Appl. Math. 27(10) (1996), 985–994. Zbl 0871.54036, MR 1412032 |
| Reference:
|
[9] Lahiri B. K., Das P.: Measures in bitopoloical spaces - II.Indian J. Pure, Appl. Math. 29(5) (1998), 473–485. MR 1621526 |
| Reference:
|
[10] Lahiri B. K., Das P.: Certain bitopological concepts in a bispace.Soochow J. Math. 27(2) (2001), 175–185. Zbl 0985.54028, MR 1838570 |
| Reference:
|
[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 0707797 |
| Reference:
|
[12] Polexe R.: Measures sur del espaces bitopologiques.Buletinul Universitatii Din Brasov, Seria C, 28 (1986), 65–68. MR 0919034 |
| Reference:
|
[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. Zbl 0214.21106, MR 0305367 |
| Reference:
|
[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 0148838 |
| . |
