Cofibrant objects in the Thomason Model Structure

Publikation: Arbeitspapier/Preprint › Preprint

Autoren

  • Roman Bruckner
  • Christoph Pegel

Organisationseinheiten

Externe Organisationen

  • Universität Bremen
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Details

OriginalspracheEnglisch
Seitenumfang23
PublikationsstatusElektronisch veröffentlicht (E-Pub) - 17 März 2016

Abstract

There are Quillen equivalent Thomason model structures on the category of small categories, the category of small acyclic categories and the category of posets. These share the property that cofibrant objects are posets. In fact, they share the same class of cofibrant objects. We show that every finite semilattice, every chain, every countable tree, every finite zigzag and every poset with five or less elements is cofibrant in all of those structures.

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Cofibrant objects in the Thomason Model Structure. / Bruckner, Roman; Pegel, Christoph.
2016.

Publikation: Arbeitspapier/Preprint › Preprint

Bruckner, R., & Pegel, C. (2016). Cofibrant objects in the Thomason Model Structure. Vorabveröffentlichung online. https://arxiv.org/abs/1603.05448
Bruckner R, Pegel C. Cofibrant objects in the Thomason Model Structure. 2016 Mär 17. Epub 2016 Mär 17.
Bruckner, Roman ; Pegel, Christoph. / Cofibrant objects in the Thomason Model Structure. 2016.
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