Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Mertens, Arne"'
Autor:
Mertens, Arne
We introduce necklicial nerve functors from enriched categories to simplicial sets, which include Cordier's homotopy coherent, Lurie's differential graded and Le Grignou's cubical nerves. It is shown that every necklicial nerve can be lifted to the t
Externí odkaz:
http://arxiv.org/abs/2408.10049
Autor:
Mertens, Arne
We follow the work of Aguiar on internal categories and introduce simplicial objects internal to a monoidal category as certain colax monoidal functors. Then we compare three approaches to equipping them with a discrete set of vertices. We introduce
Externí odkaz:
http://arxiv.org/abs/2404.12456
Autor:
Marques, Violeta Borges, Mertens, Arne
In the first part of this note we further the study of the interactions between Reedy and monoidal structures on a small category, building upon the work of Barwick. We define a Reedy monoidal category as a Reedy category $\mathcal{R}$ which is monoi
Externí odkaz:
http://arxiv.org/abs/2308.12796
The framework of templicial objects was put forth in arXiv:2302.02484v1 in order to develop higher categorical concepts in the presence of enrichment. In particular, quasi-categories in modules constitute a subclass of templicial modules which may be
Externí odkaz:
http://arxiv.org/abs/2308.09148
Autor:
Lowen, Wendy, Mertens, Arne
We lay the foundations for a theory of quasi-categories in a monoidal category $\mathcal{V}$ replacing $\mathrm{Set}$, aimed at realising weak enrichment in the category $S\mathcal{V}$ of simplicial objects in $\mathcal{V}$. To accomodate non-cartesi
Externí odkaz:
http://arxiv.org/abs/2302.02484
Autor:
Lowen, Wendy, Mertens, Arne
Templicial objects were put forth in arXiv:2302.02484v2 to set up a suitable simplicial framework for enriched quasi-categories. Following Leinster, these objects feature certain comultiplications as a replacement for outer face maps in the non-carte
Externí odkaz:
http://arxiv.org/abs/2005.04778
Autor:
Mertens, Arne, Swennen, Rony, Rønsted, Nina, Vandelook, Filip, Panis, Bart, Sachter-Smith, Gabriel, Vu, Dang Toan, Janssens, Steven B.
Publikováno v:
Diversity and Distributions, 2021 Apr 01. 27(4), 729-746.
Externí odkaz:
https://www.jstor.org/stable/26991461
Akademický článek
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Autor:
Kallow, Simon1,2,3 (AUTHOR) S.Kallow@kew.org, Mertens, Arne2,3 (AUTHOR), Janssens, Steven B.3,4 (AUTHOR), Vandelook, Filip3 (AUTHOR), Dickie, John1 (AUTHOR), Swennen, Rony2,5 (AUTHOR), Panis, Bart2,6 (AUTHOR)
Publikováno v:
Food & Energy Security. Feb2022, Vol. 11 Issue 1, p1-17. 17p.
Autor:
Loan Le Thi1, Mertens, Arne2,3, Dang Toan Vu1, Tuong Dang Vu1, Pham Le Anh Minh4, Huy Nguyen Duc5, der de Backer, San2, Swennen, Rony3,6, Vandelook, Filip2, Panis, Bart7, Amalfi, Mario2,8, Decock, Cony9, Gomes, Sofia I. F.10,11, Merckx, Vincent S. F. T.10,12, Janssens, Steven B.2,13 steven.janssens@botanicgardenmeise.be
Publikováno v:
MycoKeys. 2022, Issue 87, p53-76. 24p.