Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Michael Batanin"'
Publikováno v:
Oberwolfach Reports. 18:2497-2560
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b81416ffc6eb2cda111d2f8a51d71b0
https://doi.org/10.4171/owr/2021/46
https://doi.org/10.4171/owr/2021/46
Publikováno v:
Journal of Pure and Applied Algebra. 227:107429
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0b76d7ceeae773dd5cc336dba3e24b5
https://doi.org/10.1016/j.jpaa.2023.107429
https://doi.org/10.1016/j.jpaa.2023.107429
Autor:
Michael Batanin, David White
Publikováno v:
Homology, Homotopy and Applications
We prove the equivalence of several hypotheses that have appeared recently in the literature for studying left Bousfield localization and algebras over a monad. We find conditions so that there is a model structure for local algebras, so that localiz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9e784c706a93b6c1cf689898060e7d1
https://hdl.handle.net/21.11116/0000-0009-1104-F21.11116/0000-0009-1101-221.11116/0000-0009-1103-0
https://hdl.handle.net/21.11116/0000-0009-1104-F21.11116/0000-0009-1101-221.11116/0000-0009-1103-0
Autor:
Michael Batanin, Martin Markl
Publikováno v:
Journal of Noncommutative Geometry
We prove that the operad B of natural operations on the Hochschild cohomology has the homotopy type of the operad of singular chains on the little disks operad. To achieve this goal, we introduce crossed interval groups and show that B is a certain c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9034d10ca0627e358c71dcdb9de2b6b2
https://doi.org/10.4171/jncg/167
https://doi.org/10.4171/jncg/167
Autor:
Michael Batanin, David White
Publikováno v:
Trends in Mathematics ISBN: 9783319454405
We describe a proof of the Baez–Dolan Stabilization Hypothesis for Rezk’s model of weak n-categories. This proof proceeds via abstract homotopy theory, and en route we discuss a version of left Bousfield localization which does not require left p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::792674093c18639c8041e48323d55ea3
https://doi.org/10.1007/978-3-319-45441-2_31
https://doi.org/10.1007/978-3-319-45441-2_31
Autor:
Michael Batanin, Martin Markl
Publikováno v:
Advances in Mathematics
We consider a theory of centers and homotopy centers of monoids in monoidal categories which themselves are enriched in duoidal categories. Duoidal categories (introduced by Aguillar and Mahajan under the name 2-monoidal categories) are categories wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f0d40beeb6c5ee518f4369e033a553e
https://doi.org/10.1016/j.aim.2012.04.011
https://doi.org/10.1016/j.aim.2012.04.011
Publikováno v:
Advances in mathematics (New York. 1965) 224 (2010): 2690–2737. doi:10.1016/j.aim.2010.02.012
info:cnr-pdr/source/autori:Joachim Kock; André Joyal; Michael Batanin; Jean-François Mascari/titolo:Polynomial functors and opetopes/doi:10.1016%2Fj.aim.2010.02.012/rivista:Advances in mathematics (New York. 1965)/anno:2010/pagina_da:2690/pagina_a:2737/intervallo_pagine:2690–2737/volume:224
info:cnr-pdr/source/autori:Joachim Kock; André Joyal; Michael Batanin; Jean-François Mascari/titolo:Polynomial functors and opetopes/doi:10.1016%2Fj.aim.2010.02.012/rivista:Advances in mathematics (New York. 1965)/anno:2010/pagina_da:2690/pagina_a:2737/intervallo_pagine:2690–2737/volume:224
We give an elementary and direct combinatorial definition of opetopes in terms of trees, well-suited for graphical manipulation and explicit computation. To relate our definition to the classical definition, we recast the Baez-Dolan slice constructio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72b7b3721ba86aa53a6191b7509bd103
https://doi.org/10.1016/j.aim.2010.02.012
https://doi.org/10.1016/j.aim.2010.02.012
Autor:
Michael Batanin
Publikováno v:
Proceedings of the American Mathematical Society
We prove a stabilization theorem for algebras of n-operads in a monoidal model category. It implies a version of Baez-Dolan stabilization hypothesis for Rezk's weak n-categories and some other stabilization results.
14 pages, the paper is now in
14 pages, the paper is now in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a4584fa09c1776edc0b99fdb2dae543e
http://arxiv.org/abs/1511.09130
http://arxiv.org/abs/1511.09130
Autor:
Michael Batanin, Martin Markl
Publikováno v:
Advances in Mathematics
The purpose of this paper is two-fold. In Part 1 we introduce a new theory of operadic categories and their operads. This theory is, in our opinion, of an independent value. In Part 2 we use this new theory together with our previous results to prove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d33be5d79436b88214c7c8ccc45e7eb
http://arxiv.org/abs/1404.3886
http://arxiv.org/abs/1404.3886
Autor:
Michael Batanin, Ross Street
Publikováno v:
Macquarie University
A vital ingredient in the first author's definition of weak ω -category is his description, in terms of trees, of the free (strict) ω -category on a globular set. The induced monad on the category of globular sets shares many of the properties of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac310554d86c6a3fabfc4fc360ac16ad
https://doi.org/10.1016/s0022-4049(99)00184-x
https://doi.org/10.1016/s0022-4049(99)00184-x