Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Scherer, Jerome"'
Let $h$ be a connective homology theory. We construct a functorial relative plus construction as a Bousfield localization functor in the category of maps of spaces. It allows us to associate to a pair $(X, H)$ consisting of a connected space $X$ and
Externí odkaz:
http://arxiv.org/abs/2302.06892
The correspondence between the concept of conditional flatness and admissibility in the sense of Galois appears in the context of localization functors in any semi-abelian category admitting a fiberwise localization. It is then natural to wonder what
Externí odkaz:
http://arxiv.org/abs/2301.08672
Autor:
Gran, Marino, Scherer, Jérôme
We extend the group-theoretic notion of conditional flatness for a localization functor to any pointed category, and investigate it in the context of homological categories and of semi-abelian categories. In the presence of functorial fiberwise local
Externí odkaz:
http://arxiv.org/abs/2208.03453
We prove that localization functors of crossed modules of groups do not always admit fiberwise (or relative) versions. To do so we characterize the existence of a fiberwise localization by a certain normality condition and compute explicit examples a
Externí odkaz:
http://arxiv.org/abs/2207.09702
Autor:
Pitsch, Wolfgang, Scherer, Jérôme
We prove that there is an action of the cyclic group $\mathbf{C}_2$ on the $10$-dimensional Floyd manifold which turns it into a conjugation manifold. The submanifold of fixed points is the $5$-dimensional Floyd manifold, whose cohomology is isomorph
Externí odkaz:
http://arxiv.org/abs/2105.04868
Autor:
Pitsch, Wolfgang, Scherer, Jérôme
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 151 (2021) 509-524
Conjugation spaces are topological spaces equipped with an involution such that their fixed points have the same mod $2$ cohomology (as a graded vector space, a ring, and even an unstable algebra) but with all degrees divided by two, generalizing the
Externí odkaz:
http://arxiv.org/abs/1911.13140
Conjugation spaces are equipped with an involution such that the fixed points have the same mod 2 cohomology (as a graded vector space, a ring, and even an unstable algebra) but with all degrees divided by 2, generalizing the classical examples of co
Externí odkaz:
http://arxiv.org/abs/1908.03088
Publikováno v:
In Expositiones Mathematicae June 2023 41(2):316-332
Autor:
Flores, Ramon, Scherer, Jerome
We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.
Comment: 12 pages
Comment: 12 pages
Externí odkaz:
http://arxiv.org/abs/1707.08021
To do homological algebra with unbounded chain complexes one needs to first find a way of constructing resolutions. Spaltenstein solved this problem for chain complexes of R-modules by truncating further and further to the left, resolving the pieces,
Externí odkaz:
http://arxiv.org/abs/1702.05357