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pro vyhledávání: '"Ilan Barnea"'
In a companion paper [ABS1] we introduced the stable $\infty$-category of noncommutative CW-spectra, which we denoted $\mathtt{NSp}$. Let $\mathcal{M}$ denote the full spectrally enriched subcategory of $\mathtt{NSp}$ whose objects are the non-commut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd09e6fd1b3335d265b1e23e5ed30709
http://arxiv.org/abs/2101.09778
http://arxiv.org/abs/2101.09778
Autor:
Tomer M. Schlank, Ilan Barnea
Publikováno v:
Journal of Pure and Applied Algebra. 219:1175-1210
In this paper we present a new way to construct the pro-category of a category. This new model is very convenient to work with in certain situations. We present a few applications of this new model, the most important of which solves an open problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e818c63edd8238120807d84cd480a57d
https://doi.org/10.1016/j.jpaa.2014.06.001
https://doi.org/10.1016/j.jpaa.2014.06.001
Autor:
Ilan Barnea, Saharon Shelah
The abelianization is a functor from groups to abelian groups, which is left adjoint to the inclusion functor. Being a left adjoint, the abelianization functor commutes with all small colimits. In this paper we investigate the relation between the ab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fba6f458b03256b50eedeeea0addb09
http://arxiv.org/abs/1608.02220
http://arxiv.org/abs/1608.02220
Publikováno v:
Algebraic and Geometric Topology
Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2017, 17 (1), pp.567-643. ⟨10.2140/agt.2017.17.567⟩
Algebr. Geom. Topol. 17, no. 1 (2017), 567-643
Algebraic & Geometric Topology
Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2017, 17 (1), pp.567-643. ⟨10.2140/agt.2017.17.567⟩
Algebr. Geom. Topol. 17, no. 1 (2017), 567-643
Algebraic & Geometric Topology
International audience; The goal of this paper is to prove an equivalence between the model categorical approach to pro-categories, as studied by Isaksen, Schlank and the first author, and the $\infty$-categorical approach, as developed by Lurie. Thr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::562cc188dd10bec00f39eb5f53679c80
http://arxiv.org/abs/1507.01564
http://arxiv.org/abs/1507.01564
Autor:
Ilan Barnea, Tomer M. Schlank
In a recent paper we introduced a much weaker and easy to verify structure than a model category, which we called a "weak fibration category". We further showed that a small weak fibration category can be "completed" into a full model category struct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4728c77acd8467d1244d63d635b9efd
http://arxiv.org/abs/1407.1817
http://arxiv.org/abs/1407.1817
Autor:
Ilan Barnea, Tomer M. Schlank
In this work we shall introduce a new model structure on the category of pro-simplicial sheaves, which is very convenient for the study of \'etale homotopy. Using this model structure we define a pro-space associated to a topos, as a result of applyi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae6c552b568111e9542e892e1bed8bc3
http://arxiv.org/abs/1109.5477
http://arxiv.org/abs/1109.5477