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Description
  • Zavádíme pojem doktríny jakožto jednotného prostředí pro studium slabých pojmů representability. Protože (ko)limity lze definovat pomocí representability, umožňuje pojem doktríny definovat a studovat oslabené (ko)limitní pojmy. Pokud je danou doktrínou například doktrína kozúplnění na kolimity jisté třídy, existence oslabených limit v kategorii ma blízký vztah ke skutečným limitám ve volných kozúplněních. Analogický vztah platí mezi promonoidálními strukturami na kategorii a skutečnými monoidálními strukturami na volných kozúplněních. (cs)
  • We propose the notion of a doctrine to provide a uniform environment for studying weak representability concepts. Since (co)limits are representability notions, this allows us to define and study weakened (co)limit concepts. For example, in case the doctrine in question is the doctrine of free cocompletions under colimits of some class, the existence of weakened limits in the ambient category is closely related to honest limits in free cocompletions. Similarly, we can relate certain weak promonoidal structures on a category to honest monoidal structures on a free cocompletion.
  • We propose the notion of a doctrine to provide a uniform environment for studying weak representability concepts. Since (co)limits are representability notions, this allows us to define and study weakened (co)limit concepts. For example, in case the doctrine in question is the doctrine of free cocompletions under colimits of some class, the existence of weakened limits in the ambient category is closely related to honest limits in free cocompletions. Similarly, we can relate certain weak promonoidal structures on a category to honest monoidal structures on a free cocompletion. (en)
Title
  • Representability Relative to a Doctrine
  • Representabilita vzhledem k doktríně (cs)
  • Representability Relative to a Doctrine (en)
skos:prefLabel
  • Representability Relative to a Doctrine
  • Representabilita vzhledem k doktríně (cs)
  • Representability Relative to a Doctrine (en)
skos:notation
  • RIV/68407700:21230/09:03154635!RIV09-MSM-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6840770014)
http://linked.open...iv/cisloPeriodika
  • XLX-1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 339008
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/09:03154635
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • multilimit; weighted limit; promonoidal structure (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • FR - Francouzská republika
http://linked.open...ontrolniKodProRIV
  • [61030C60C823]
http://linked.open...i/riv/nazevZdroje
  • Cahiers de topologie et geometrie differentielle categoriques
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2009
http://linked.open...iv/tvurceVysledku
  • Velebil, Jiří
  • Karazeris, P.
http://linked.open...n/vavai/riv/zamer
issn
  • 0008-0004
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
is http://linked.open...avai/riv/vysledek of
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