Cofibrant objects in the Thomason Model Structure

Research output: Working paper/Preprint › Preprint

Authors

  • Roman Bruckner
  • Christoph Pegel

Research Organisations

External Research Organisations

  • University of Bremen
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Details

Original languageEnglish
Number of pages23
Publication statusE-pub ahead of print - 17 Mar 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.

Keywords

    math.CT, math.AT, math.CO, 55P99, 18B35

Cite this

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

Research output: Working paper/Preprint › Preprint

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