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Description
  • We compare two methods of proving separable reduction theorems in functional analysis - the method of rich families and the method of elementary submodels. We show that any result proved using rich families holds also when formulated with elementary submodels and the converse is true in spaces with fundamental minimal system and in spaces of density aleph_1. We do not know whether the converse is true in general. We apply our results to show that a projectional skeleton may be without loss of generality indexed by ranges of its projections.
  • We compare two methods of proving separable reduction theorems in functional analysis - the method of rich families and the method of elementary submodels. We show that any result proved using rich families holds also when formulated with elementary submodels and the converse is true in spaces with fundamental minimal system and in spaces of density aleph_1. We do not know whether the converse is true in general. We apply our results to show that a projectional skeleton may be without loss of generality indexed by ranges of its projections. (en)
Title
  • Rich families and elementary submodels
  • Rich families and elementary submodels (en)
skos:prefLabel
  • Rich families and elementary submodels
  • Rich families and elementary submodels (en)
skos:notation
  • RIV/00216208:11320/14:10210855!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GAP201/12/0290), S
http://linked.open...iv/cisloPeriodika
  • 7
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 42711
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10210855
http://linked.open...riv/jazykVysledku
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  • Rich family; Projectional skeleton; Separable reduction; Elementary submodel (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • PL - Polská republika
http://linked.open...ontrolniKodProRIV
  • [72224E335BE7]
http://linked.open...i/riv/nazevZdroje
  • Central European Journal of Mathematics
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  • 12
http://linked.open...iv/tvurceVysledku
  • Kalenda, Ondřej
  • Cúth, Marek
http://linked.open...ain/vavai/riv/wos
  • 000334180800008
issn
  • 1895-1074
number of pages
http://bibframe.org/vocab/doi
  • 10.2478/s11533-013-0400-z
http://localhost/t...ganizacniJednotka
  • 11320
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