Pith. sign in

REVIEW 5 cited by

Poset Topology: Tools and Applications

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/0602226 v2 pith:DLDHQ245 submitted 2006-02-10 math.CO

classification math.CO
keywords posetnotestopologyactionsapplicationsarrangementscitycombinatorics
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

These lecture notes for the IAS/Park City Graduate Summer School in Geometric Combinatorics (July 2004) provide an overview of poset topology. These notes include introductory material, as well as recent developments and open problems. Some of the topics covered are: subspace arrangements, graph complexes, group actions on poset homology, shellability, recursive techniques, and fiber theorems.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Topological Koszulity for Category Algebras

    math.RA 2024-12 accept novelty 8.0 of 10

    Koszulity of an indiscretely based category algebra is equivalent to the local bouquet property of its factorization spaces.

  2. Comparing the face rings of a boolean complex and its barycentric subdivision

    math.AC 2025-07 conditional novelty 7.0 of 10

    The Stanley-Reisner rings of a boolean complex and its barycentric subdivision are always G-equivariantly isomorphic over their shared parameter ring when the complex is Cohen-Macaulay and the field characteristic is ...

  3. The Chain Matrix of Bouquets of Geometric Lattices and its Determinant

    math.CO 2024-11 conditional novelty 6.0 of 10

    The determinant of the chain matrix of a bouquet of geometric lattices equals, up to sign, a product of linear weight functions raised to cumulated rho exponents.

  4. Deception, Delay, and Detection of Strategies

    math.CO 2019-06 unverdicted novelty 5.0 of 10

    Maximal strategies in n-state fully controllable nondeterministic or stochastic graphs admit at least (n-1)! action-release sequences of length >= n-1 that delay full identification until the final revelation.

  5. The $K(\pi, 1)$ conjecture for affine Artin groups

    math.GR 2025-08 unverdicted novelty 1.0 of 10

    A summary paper explaining the authors' recent proof of the K(pi,1) conjecture for affine Artin groups.

Pith tools