Mapping spaces between operads in relation to bimodules

[2312.07906] Mapping spaces between operads in relation to bimodules Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Algebraic Topology arXiv:2312.07906 (math) [Submitted on 13 Dec 2023 ( v1 ), last revised 10 Apr 2026 (this version, v3)] Title: Mapping spaces between operads in relation to bimodules Authors: Hoang Truong View a PDF of the paper titled Mapping spaces between operads in relation to bimodules, by Hoang Truong View PDF HTML (experimental) Abstract: This paper investigates mapping spaces between enriched operads and relates these spaces to those between operadic bimodules via convenient fiber sequences. The main statements hold for simplicial operads, operads enriched in simplicial modules over a commutative ring, and for connective dg operads, with the last case relying on an operadic version of the Dold-Kan correspondence. Comments: Final version, to appear in Algebr. Geom. Topol. The Dold-Kan correspondence for enriched operads (with non-fixed sets of colors) has been removed and will appear in a separate paper. The title has been revised accordingly Subjects: Algebraic Topology (math.AT) ; Category Theory (math.CT) MSC classes: 18G31, 18M60, 18M75, 18N40 Cite as: arXiv:2312.07906 [math.AT] (or arXiv:2312.07906v3 [math.AT] for this version) https://doi.org/10.48550/arXiv.2312.07906 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Manh Truong Hoang [ view email ] [v1] Wed, 13 Dec 2023 05:24:39 UTC (28 KB) [v2] Tue, 26 Dec 2023 10:54:35 UTC (35 KB) [v3] Fri, 10 Apr 2026 03:32:55 UTC (24 KB) Full-text links: Access Paper: View a PDF of the paper titled Mapping spaces between operads in relation to bimodules, by Hoang Truong View PDF HTML (experimental) TeX Source view license Current browse context: math.AT < prev | next > new | recent | 2023-12 Change to browse by: math math.CT References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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