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Description
  • We define the notion of approximate Euler characteristic of definable sets of a first order structure and show that its existence is related to the validity(in the structure) of a form of weak pigeonhole principle. Another form of the weak pigeonhole principle is related to the existence of a non-trivial dimension function on definable sets in the sense of Schanuel.
  • We define the notion of approximate Euler characteristic of definable sets of a first order structure and show that its existence is related to the validity(in the structure) of a form of weak pigeonhole principle. Another form of the weak pigeonhole principle is related to the existence of a non-trivial dimension function on definable sets in the sense of Schanuel. (en)
  • Definujeme pojem přibližné Eulerovy charakteristiky množin definovaných ve struktuře prvního řádu. Ukážeme, že její existence souvisí s platností ( v dané struktuře ) verze slabého PHP principu. Jiná verze PHP souvisí s existencí netriviální dimenze ve smyslu Schanuela. (cs)
Title
  • Approximate Euler characteristic, dimension, and weak pigeonhole principles
  • Approximate Euler characteristic, dimension, and weak pigeonhole principles (en)
  • Přibližná Eulerova charakteristika, dimenze a slabé principy PHP (cs)
skos:prefLabel
  • Approximate Euler characteristic, dimension, and weak pigeonhole principles
  • Approximate Euler characteristic, dimension, and weak pigeonhole principles (en)
  • Přibližná Eulerova charakteristika, dimenze a slabé principy PHP (cs)
skos:notation
  • RIV/67985840:_____/04:00106824!RIV/2005/MSM/A05005/N
http://linked.open.../vavai/riv/strany
  • 201;214
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1019901), P(LN00A056), Z(AV0Z1019905)
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  • 1
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  • 555266
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  • RIV/67985840:_____/04:00106824
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  • Euler characteristic;dimension function;weak pigeonhole principle (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [996E38CA91A5]
http://linked.open...i/riv/nazevZdroje
  • Journal of Symbolic Logic
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http://linked.open...v/svazekPeriodika
  • 69
http://linked.open...iv/tvurceVysledku
  • Krajíček, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0022-4812
number of pages
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