Spectral sequences in (∞,1)-categories

David Blanc; Nicholas J. Meadows

doi:https://doi.org/10.1016/j.jpaa.2021.106905

Spectral sequences in (∞,1)-categories

David Blanc, Nicholas J. Meadows

Department of Mathematics

University of Haifa

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	American 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

Keywords

Differential
Higher order operations
Simplicial object
Spectral sequence
∞-category

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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https://doi.org/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.}",

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: {\textcopyright} 2021 Elsevier B.V.",

year = "2021",

doi = "https://doi.org/10.1016/j.jpaa.2021.106905",

language = "American English",

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AU - Blanc, David

AU - Meadows, Nicholas J.

N1 - 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.

PY - 2021

Y1 - 2021

N2 - 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.

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.

KW - Differential

KW - Higher order operations

KW - Simplicial object

KW - Spectral sequence

KW - ∞-category

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U2 - https://doi.org/10.1016/j.jpaa.2021.106905

DO - https://doi.org/10.1016/j.jpaa.2021.106905

M3 - Article

SN - 0022-4049

VL - 226

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 7

M1 - 106905

ER -

Spectral sequences in (∞,1)-categories

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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