arXiv Open Access 2023

Category-colored Operads, Internal Operads, and Markl $\mathbb{O}$-operads

Dominik Trnka

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Abstrak

We present a Markl-style definition of operads colored by a small category. In the presence of a unit these are equivalent to substitudes of Day and Street. We show that operads colored by a category are internal algebras of a certain categorical operad of functors. We describe a groupoid-colored quadratic binary operad, whose algebras are non-unital Markl operads in the context of operadic categories. As a by-product we describe the free internal operad construction.

Topik & Kata Kunci

math.CT math.AT

Penulis (1)

Dominik Trnka

Format Sitasi

APA MLA BibTeX

Trnka, D. (2023). Category-colored Operads, Internal Operads, and Markl $\mathbb{O}$-operads. https://arxiv.org/abs/2304.02446

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓