Approximating Radon measures on first-countable compact spaces

Grzegorz Plebanek

Colloquium Mathematicae (2000)

  • Volume: 86, Issue: 1, page 15-23
  • ISSN: 0010-1354

Abstract

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The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.

How to cite

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Plebanek, Grzegorz. "Approximating Radon measures on first-countable compact spaces." Colloquium Mathematicae 86.1 (2000): 15-23. <http://eudml.org/doc/210836>.

@article{Plebanek2000,
abstract = {The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.},
author = {Plebanek, Grzegorz},
journal = {Colloquium Mathematicae},
keywords = {Hausdorff space; equidistributed sequence; countable Maharam type; Radon measure; first-countable compact space},
language = {eng},
number = {1},
pages = {15-23},
title = {Approximating Radon measures on first-countable compact spaces},
url = {http://eudml.org/doc/210836},
volume = {86},
year = {2000},
}

TY - JOUR
AU - Plebanek, Grzegorz
TI - Approximating Radon measures on first-countable compact spaces
JO - Colloquium Mathematicae
PY - 2000
VL - 86
IS - 1
SP - 15
EP - 23
AB - The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.
LA - eng
KW - Hausdorff space; equidistributed sequence; countable Maharam type; Radon measure; first-countable compact space
UR - http://eudml.org/doc/210836
ER -

References

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  18. [18] G. Plebanek, On Radon measures on first-countable spaces, Fund. Math. 148 (1995), 159-164. Zbl0853.28005
  19. [19] G. Plebanek, Nonseparable Radon measures and small compact spaces, ibid. 153 (1997), 25-40. Zbl0905.28008
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