Killing residual measures

• Autorzy: Zindulka O.
• Języki publikacji: EN

Abstrakty

EN

A σ-finite Borel measure in a topological space is called residual if each nowhere dense set has measure zero. We show that in various types of spaces without isolated points there are no residual measures. Among these spaces are e.g. σ-spaces, locally metrizable spaces, locally separable spaces, spaces that have a σ-point-finite π -base, submanifolds.

Słowa kluczowe

EN

Borel measure; residual measure; schismatic measure; schismatic space; meager set; network; π-base

PL

miara borelowska; miara szczątkowa; schizmatyczna miara; schizmatyczna przestrzeń; skromny zbiór; sieć; π - podstawa

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 1999
• Tom: Vol. 5, nr 2
• Strony: 223--238
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Zindulka O.

• Department of Mathematics Faculty of Civil Engineering Czech Technical University Thakurova 7, 160 00 Prague 6 Czech Republic,