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Induced monoidal structure from the functor

2016/12/22 by Neha Gupta, Gupta, Neha, Pradip Kumar +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1612.07447

openalex publication_date 2016/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let B be a subcategory of a given category D. Let B has monoidal structure. In this article, we discuss when can one extend the monoidal structure of B to D such that B becomes a sub monoidal category of monoidal category D. Examples are discussed, and in particular, in an example of loop space, we elaborated all results discussed in this article.

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