Measure and topology: Mařík spaces

Ivan Netuka

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 4, page 357-367
  • ISSN: 0862-7959

Abstract

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This is an expository paper on Jan Marik's result concerning an extension of a Baire measure to a Borel measure.

How to cite

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Netuka, Ivan. "Measure and topology: Mařík spaces." Mathematica Bohemica 121.4 (1996): 357-367. <http://eudml.org/doc/247966>.

@article{Netuka1996,
abstract = {This is an expository paper on Jan Marik's result concerning an extension of a Baire measure to a Borel measure.},
author = {Netuka, Ivan},
journal = {Mathematica Bohemica},
keywords = {Baire measure; Borel measure; topological space; Baire measure; Borel measure; topological space},
language = {eng},
number = {4},
pages = {357-367},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Measure and topology: Mařík spaces},
url = {http://eudml.org/doc/247966},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Netuka, Ivan
TI - Measure and topology: Mařík spaces
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 4
SP - 357
EP - 367
AB - This is an expository paper on Jan Marik's result concerning an extension of a Baire measure to a Borel measure.
LA - eng
KW - Baire measure; Borel measure; topological space; Baire measure; Borel measure; topological space
UR - http://eudml.org/doc/247966
ER -

References

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  1. H. Bauer, Maß-und Integrationstheorie, Walter de Gruyter, Berlin, 1992. (1992) Zbl0748.28001MR1181881
  2. R. Engelking, General topology, Heldermann Verlag, Berlin, 1989. (1989) Zbl0684.54001MR1039321
  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. (1984) Zbl0593.28016MR0776641
  4. J. Mařík, The Lebesgue integral in abstract spaces, Časopis Pěst. Mat. 76 (1951), 175-194. (In Czech.) (1951) MR0051906
  5. J. Mařík, On the integral representation of a functional, Czechoslovak Math. J. 5(80) (1955), 467-487. (In Russian.) (1955) MR0086859
  6. J. Mařík, A note on nowhere dense sets in E m , Časopis Pěst. Mat. 81 (1956), 337-341. (In Czech.) (1956) MR0085319
  7. J. Mařík, Transformation of m-dimensional Lebesgue integrals, Czechoslovak Math. J. 6 (81) (1956), 212-216. (1956) MR0084555
  8. J. Mařík, The Baire and Borel measure, Časopis Pěst. Mat. 81 (1956), 431-450. (In Czech.) (1956) MR0088531
  9. J. Mařík, The transformation of one dimensional integrals, Časopis Pěst. Mat. 82 (1957), 93-98. (In Russian.) (1957) MR0088534
  10. J. Mařík, The Baire and Borel measure, Czechoslovak Math. J. 7 (82) (1957), 248-253. (1957) MR0088532
  11. J. Mařík, Les fonctionnelles sur l'ensemble des fonctions continues bornées, définies dans un espace topologique, Studia Math. 16 (1957), 86-94. (1957) Zbl0078.28901MR0088533
  12. J. Mařík, Integration of some very elementary functions, Math. Bohem. 118 (1993), 201-217, (1993) MR1223486
  13. J. Mařík, Integrating factor, Math. Bohem. 119 (1994), 225-229. (1994) MR1305525
  14. J. Mařík, The Hausdorff dimension of some special plane sets, Math. Bohem. 119 (1994), 359-366. (1994) MR1316587
  15. Haruto Ohta, Ken-Ichi-Tamano, 10.1090/S0002-9947-1990-0946425-5, Trans. Amer. Math. Soc. 317 (1990), 393-415. (1990) MR0946425DOI10.1090/S0002-9947-1990-0946425-5
  16. R. F. Wheeler, A survey of Baire measures and strict topologies, Expositiones Math. 2 (1983), 97-187. (1983) Zbl0522.28009MR0710569

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