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Abstrakty
We investigate how many mutually singular measures one can define on a given space. In particular, we show that under Martin's axiom there is a compact space X of cardinality C which carries 2^C mutually singular Radon probability measures.
Słowa kluczowe
Wydawca
Rocznik
Tom
Strony
169--174
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
- Department of Mathematics, University of Essex, CO4 3SQ Colchester, England
autor
- Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Bibliografia
- [1] S. Argyros, On non-separable Banach spaces, Trans. Amer. Math. Soc., 270 (1982) 193-216.
- [2] V. V. Fedorchuk, On a preservation of completeness of uniform spaces by the functor Pr, Topology Appl., 91 (1999) 25-45.
- [3] R. Frankiewicz, G. Plebanek, C. Ryll-Nardzewski, Between Lindelöf property and countable tightness, Proc. Amer. Math. Soc., 129 (2001) 97-103.
- [4] D. H. Fremlin, Consequences of Martin’s axiom, Cambridge Univ. Press, Cambridge 1984.
- [5] D. H. Fremlin, Measure algebras, in: Handbook of Boolean algebras, Vol. III, Chapter 22, ed.: J. D. Monk, North-Holand, Amsterdam 1989.
- [6] D. H. Fremlin, Problems (July, 2001), available at the web page http://www.essex.ac.uk/math/staff/fremlin.
- [7] D. H. Fremlin, Measure theory, Vol. 2: Broad Foundations, Torres Fremlin, Colchester 2001.
- [8] D. H. Fremlin, Measure theory, Vol. 4: Topological measure spaces, in preparation. Partial drafts available at the web page http://www.essex.ac.uk/maths/staff/fremlin/mt.htm.
- [9] R. Haydon, On dual L1-spaces and injective bidual Banach spaces, Israel J. Math., 31 (1978) 142-152.
- [10] R. Haydon, Non-separable Banach spaces, in: Functional analysis: Surveys and recent results II, eds.: K. D. Biersstedt, B. Fuchssteiner, North-Holland, Amsterdam (1980) 19-30.
- [11] P. Holický, O. Kalenda, Desriptive properties of spaces of measures, Bull. Pol. Acad. Sci., 47 (1999) 37-51.
- [12] Z. Lipecki, Cardinality of the set of extreme extensions of quasi-measures, Manuscripta Math., 104 (2001) 333-341.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0001-0058