Representability theorems, up to homotopy

David Blanc; Boris Chorny

doi:10.1090/proc/14828

Representability theorems, up to homotopy

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

Abstract

We prove two representability theorems, up to homotopy, for presheaves taking values in a closed symmetric combinatorial model category V. The first theorem resembles the Freyd representability theorem, and the second theorem is closer to the Brown representability theorem. As an application we discuss a recognition principle for mapping spaces.

Original language	English
Pages (from-to)	1363-1372
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	3
DOIs	https://doi.org/10.1090/proc/14828
State	Published - 2020

Bibliographical note

Publisher Copyright:
© 2019 American Mathematical Society.

Keywords

Bousfield localization
Mapping spaces
Model category
Noncofibrantly generated
Representable functors

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/14828

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title = "Representability theorems, up to homotopy",

abstract = "We prove two representability theorems, up to homotopy, for presheaves taking values in a closed symmetric combinatorial model category V. The first theorem resembles the Freyd representability theorem, and the second theorem is closer to the Brown representability theorem. As an application we discuss a recognition principle for mapping spaces.",

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AU - Chorny, Boris

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AB - We prove two representability theorems, up to homotopy, for presheaves taking values in a closed symmetric combinatorial model category V. The first theorem resembles the Freyd representability theorem, and the second theorem is closer to the Brown representability theorem. As an application we discuss a recognition principle for mapping spaces.

KW - Bousfield localization

KW - Mapping spaces

KW - Model category

KW - Noncofibrantly generated

KW - Representable functors

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M3 - Article

AN - SCOPUS:85078936931

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

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Representability theorems, up to homotopy

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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