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pro vyhledávání: '"Moerdijk AS"'
Autor:
Blom, Thomas, Moerdijk, Ieke
We show that the particular profinite completion used by Boavida-Horel-Robertson in their study of the Grothendieck-Teichm\"uller group fits in the framework of profinite completion as a left Quillen functor. More precisely, we construct a model cate
Externí odkaz:
http://arxiv.org/abs/2312.12567
Autor:
Beuckelmann, André, Moerdijk, Ieke
In this largely expository paper, we will present a list of En -operads and give complete, and in some cases new, proofs of the equivalences between these operads.
Comment: The statement of Lemma 3.8 has been corrected. This does not affect the
Comment: The statement of Lemma 3.8 has been corrected. This does not affect the
Externí odkaz:
http://arxiv.org/abs/2212.03842
Autor:
Hinich, Vladimir, Moerdijk, Ieke
In this paper we prove the equivalence of two symmetric monoidal $\infty$-categories of $\infty$-operads, the one defined in Lurie's book on Higher Algebra and the one based on dendroidal spaces. V.2 Some corrections made and exposition slightly alte
Externí odkaz:
http://arxiv.org/abs/2206.14033
Autor:
Barata, Miguel, Moerdijk, Ieke
We give a new proof of Dunn's additivity for the little $n$-cubes operads $C_n$, which has the advantage of being considerably shorter than the ones in the literature. At the end we remark on how our proof can be adjusted to work for the tensor produ
Externí odkaz:
http://arxiv.org/abs/2205.12875
Autor:
Heuts, Gijs, Moerdijk, Ieke
We construct a homotopy initial functor from the partition complex of a finite set $A$ to a category of trees with leaves labelled by $A$. As an application, this provides an equivalence between different bar constructions of an operad. In the differ
Externí odkaz:
http://arxiv.org/abs/2112.08043
Autor:
Coleman, Bert, Van Poucke, Christof, De Witte, Bavo, Casciaro, Valentina, Moerdijk-Poortvliet, Tanja, Muylaert, Koenraad, Robbens, Johan
Publikováno v:
In Algal Research June 2024 80
Autor:
Blom, Thomas, Moerdijk, Ieke
We show that a profinite completion functor for (simplicial or topological) operads with good homotopical properties can be constructed as a left Quillen functor from an appropriate model category of infinity-operads to a certain model category of pr
Externí odkaz:
http://arxiv.org/abs/2107.10092
Autor:
Hoffbeck, Eric, Moerdijk, Ieke
In a first part of this paper, we introduce a homology theory for infinity-operads and for dendroidal spaces which extends the usual homology of differential graded operads defined in terms of the bar construction, and we prove some of its basic prop
Externí odkaz:
http://arxiv.org/abs/2105.11943
Autor:
Blom, Thomas, Moerdijk, Ieke
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 3849-3908
We describe a method for constructing simplicial model structures on ind- and pro-categories. Our method is particularly useful for constructing "profinite" analogues of known model categories. Our construction quickly recovers Morel's model structur
Externí odkaz:
http://arxiv.org/abs/2009.07539
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