Spectral sequences in (∞,1)-categories

David Blanc; Nicholas J. Meadows

doi:10.1016/j.jpaa.2021.106905

Spectral sequences in (∞,1)-categories

David Blanc, Nicholas J. Meadows

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an ∞-category, with an emphasis on how to construct the differentials in a model-invariant manner.

Original language	English
Article number	106905
Journal	Journal of Pure and Applied Algebra
Volume	226
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2021.106905
State	Published - 2021

Bibliographical note

Funding Information:
Acknowledgements. The research of first author was partially supported by Israel Science Foundation grant 770/16 , and that of the second author by a Zuckerman Postdoctoral Fellowship .

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

Differential
Higher order operations
Simplicial object
Spectral sequence
∞-category

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2021.106905

Cite this

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title = "Spectral sequences in (∞,1)-categories",

abstract = "We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an ∞-category, with an emphasis on how to construct the differentials in a model-invariant manner.",

keywords = "Differential, Higher order operations, Simplicial object, Spectral sequence, ∞-category",

author = "David Blanc and Meadows, {Nicholas J.}",

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AU - Meadows, Nicholas J.

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AB - We explain how to set up the homotopy spectral sequence of a (co)simplicial object in an ∞-category, with an emphasis on how to construct the differentials in a model-invariant manner.

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KW - Higher order operations

KW - Simplicial object

KW - Spectral sequence

KW - ∞-category

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DO - 10.1016/j.jpaa.2021.106905

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SN - 0022-4049

VL - 226

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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ER -

Spectral sequences in (∞,1)-categories

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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