Pith. sign in

REVIEW 2 cited by

Cellular $E_k$-algebras

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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 1805.07184 v4 pith:WXVUUBM2 submitted 2018-05-18 math.AT

Soren Galatius , Alexander Kupers , Oscar Randal-Williams This is my paper · ORCID
classification math.AT
keywords algebrasapplicationscellularapproximationscomputationalconceptualconvenientespecially
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We give a set of foundations for cellular $E_k$-algebras which are especially convenient for applications to homological stability. We provide conceptual and computational tools in this setting, such as filtrations, a homology theory for $E_k$-algebras with a Hurewicz theorem, CW approximations, and many spectral sequences, which shall be used for such applications in future papers.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Representation stability for ordered Hurwitz spaces

    math.AT 2025-09 conditional novelty 7.0 of 10

    The homology groups of ordered Hurwitz spaces, seen as representations of symmetric groups, have stable multiplicities in a range that grows linearly with homological degree.

  2. A stable rank filtration on direct sum $K$-theory

    math.KT 2025-01 conditional novelty 7.0 of 10

    A new stable rank filtration on direct sum K-theory is defined via Gamma-sapces, with filtration quotients described as suspension spectra of decomposition posets.

Pith tools