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In this paper we relate triangulated category structures to the cohomology of small categories and define initial obstructions to the existence of an algebraic or topological enhancement. We show that… Click to show full abstract
In this paper we relate triangulated category structures to the cohomology of small categories and define initial obstructions to the existence of an algebraic or topological enhancement. We show that these obstructions do not vanish in an example of triangulated category without models. We also obtain cohomological characterizations of pre-triangulated DG, A -infinity, and spectral categories.
Keywords:
category;
enhancing triangulated;
obstructions enhancing;
triangulated category;
first obstructions
Journal Title: Mathematische Zeitschrift
Year Published: 2018
Link to full text (if available)
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Journal Title: Mathematische Zeitschrift
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!