| Title:
|
Measure and topology: Mařík spaces (English) |
| Author:
|
Netuka, Ivan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
357-367 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This is an expository paper on Jan Marik's result concerning an extension of a Baire measure to a Borel measure. (English) |
| Keyword:
|
Baire measure |
| Keyword:
|
Borel measure |
| Keyword:
|
topological space |
| MSC:
|
01A70 |
| MSC:
|
28C15 |
| idZBL:
|
Zbl 0879.28029 |
| idMR:
|
MR1428139 |
| DOI:
|
10.21136/MB.1996.126040 |
| . |
| Date available:
|
2009-09-24T21:21:00Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126040 |
| . |
| Reference:
|
[1] H. Bauer: Maß-und Integrationstheorie.Walter de Gruyter, Berlin, 1992. Zbl 0748.28001, MR 1181881 |
| Reference:
|
[2] R. Engelking: General topology.Heldermann Verlag, Berlin, 1989. Zbl 0684.54001, MR 1039321 |
| Reference:
|
[3] R. J. Gardner, W.F. Pfeffer: Borel measures.Chap. 22. Handbook of set-theoretical topology (K.Kunen and J.E. Vaughan, eds.). Elsevier Science Publishers B.V., Amsterdam, 1984. Zbl 0593.28016, MR 0776641 |
| Reference:
|
[4] J. Mařík: The Lebesgue integral in abstract spaces.Časopis Pěst. Mat. 76 (1951), 175-194. (In Czech.) MR 0051906 |
| Reference:
|
[5] J. Mařík: On the integral representation of a functional.Czechoslovak Math. J. 5(80) (1955), 467-487. (In Russian.) MR 0086859 |
| Reference:
|
[6] J. Mařík: A note on nowhere dense sets in $E_m$.Časopis Pěst. Mat. 81 (1956), 337-341. (In Czech.) MR 0085319 |
| Reference:
|
[7] J. Mařík: Transformation of m-dimensional Lebesgue integrals.Czechoslovak Math. J. 6 (81) (1956), 212-216. MR 0084555 |
| Reference:
|
[8] J. Mařík: The Baire and Borel measure.Časopis Pěst. Mat. 81 (1956), 431-450. (In Czech.) MR 0088531 |
| Reference:
|
[9] J. Mařík: The transformation of one dimensional integrals.Časopis Pěst. Mat. 82 (1957), 93-98. (In Russian.) MR 0088534 |
| Reference:
|
[10] J. Mařík: The Baire and Borel measure.Czechoslovak Math. J. 7 (82) (1957), 248-253. MR 0088532 |
| Reference:
|
[11] J. Mařík: Les fonctionnelles sur l'ensemble des fonctions continues bornées, définies dans un espace topologique.Studia Math. 16 (1957), 86-94. Zbl 0078.28901, MR 0088533, 10.4064/sm-16-1-86-94 |
| Reference:
|
[12] J. Mařík: Integration of some very elementary functions.Math. Bohem. 118 (1993), 201-217, MR 1223486 |
| Reference:
|
[13] J. Mařík: Integrating factor.Math. Bohem. 119 (1994), 225-229. MR 1305525 |
| Reference:
|
[14] J. Mařík: The Hausdorff dimension of some special plane sets.Math. Bohem. 119 (1994), 359-366. MR 1316587 |
| Reference:
|
[15] Haruto Ohta, Ken-Ichi-Tamano: Topological spaces whose Baire measure admits a regular Borel extension.Trans. Amer. Math. Soc. 317 (1990), 393-415. MR 0946425, 10.1090/S0002-9947-1990-0946425-5 |
| Reference:
|
[16] R. F. Wheeler: A survey of Baire measures and strict topologies.Expositiones Math. 2 (1983), 97-187. Zbl 0522.28009, MR 0710569 |
| . |
