Posets for which Verdier duality holds

DOI10.1007/s00029-023-00887-2zbMath1524.18008arXiv2202.05312OpenAlexW4387735546MaRDI QIDQ6080079

Ko Aoki

Publication date: 30 October 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.05312

zbMATH Keywords

stratificationposetsVerdier dualitycombinatorial topologycosheaves\(\infty\)-toposes

Mathematics Subject Classification ID

Topoi (18B25) Preorders, orders, domains and lattices (viewed as categories) (18B35) Duality in algebraic topology (55M05) Combinatorial aspects of commutative algebra (05E40) Stratifications in topological manifolds (57N80) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60)

Cites Work

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• Posets, regular CW complexes and Bruhat order
• Cohen-Macaulay ordered sets
• Dualities between cellular sheaves and cosheaves
• Combinatorics and commutative algebra.
• Algorithmic canonical stratifications of simplicial complexes
• Tensor triangular geometry of filtered objects and sheaves
• Sheaves of categories and the notion of 1-affineness
• Verdier duality on the building
• Higher Topos Theory (AM-170)

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