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Rational enriched motivic spaces

Peter Bonart

Journal of Algebra, Volume: 657, Pages: 704 - 747

Swansea University Author: Peter Bonart

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DOI (Published version): 10.1016/j.jalgebra.2024.05.034

Abstract

Enriched motivic -spaces are introduced and studied in this paper, where is an additive category of correspondences. They are linear counterparts of motivic Γ-spaces. It is shown that rational special enriched motivic -spaces recover connective motivic bispectra with rational coefficients, where is...

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Published in: Journal of Algebra
ISSN: 0021-8693
Published: Elsevier BV 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa66715
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first_indexed 2024-06-12T16:31:26Z
last_indexed 2024-06-12T16:31:26Z
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spelling v2 66715 2024-06-12 Rational enriched motivic spaces ed197f48be683f75e2f9713eb6aad94f Peter Bonart Peter Bonart true false 2024-06-12 MACS Enriched motivic -spaces are introduced and studied in this paper, where is an additive category of correspondences. They are linear counterparts of motivic Γ-spaces. It is shown that rational special enriched motivic -spaces recover connective motivic bispectra with rational coefficients, where is the category of Milnor–Witt correspondences. Journal Article Journal of Algebra 657 704 747 Elsevier BV 0021-8693 Rational motivic stable homotopy theory; motivic Γ-spaces; enriched category theory 1 11 2024 2024-11-01 10.1016/j.jalgebra.2024.05.034 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University SU Library paid the OA fee (TA Institutional Deal) Supported by the Swansea Science Doctoral Training Partnerships, and the Engineering and Physical Sciences Research Council (Project Reference: 2484592). 2024-06-27T15:28:20.7530167 2024-06-12T17:28:37.8996824 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Peter Bonart 1 66715__30771__ca91bcfdee9846ca8f036f77ff64e660.pdf 66715.VoR.pdf 2024-06-27T15:26:26.5265956 Output 665948 application/pdf Version of Record true © 2024 The Author(s). This is an open access article under the CC BY license. true eng http://creativecommons .org /licenses /by /4 .0/
title Rational enriched motivic spaces
spellingShingle Rational enriched motivic spaces
Peter Bonart
title_short Rational enriched motivic spaces
title_full Rational enriched motivic spaces
title_fullStr Rational enriched motivic spaces
title_full_unstemmed Rational enriched motivic spaces
title_sort Rational enriched motivic spaces
author_id_str_mv ed197f48be683f75e2f9713eb6aad94f
author_id_fullname_str_mv ed197f48be683f75e2f9713eb6aad94f_***_Peter Bonart
author Peter Bonart
author2 Peter Bonart
format Journal article
container_title Journal of Algebra
container_volume 657
container_start_page 704
publishDate 2024
institution Swansea University
issn 0021-8693
doi_str_mv 10.1016/j.jalgebra.2024.05.034
publisher Elsevier BV
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description Enriched motivic -spaces are introduced and studied in this paper, where is an additive category of correspondences. They are linear counterparts of motivic Γ-spaces. It is shown that rational special enriched motivic -spaces recover connective motivic bispectra with rational coefficients, where is the category of Milnor–Witt correspondences.
published_date 2024-11-01T15:28:20Z
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score 11.0161915

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