Zobrazeno 1 - 10
of 103
pro vyhledávání: '"Livernet, Muriel"'
Autor:
Livernet, Muriel, Whitehouse, Sarah
We study homotopy theory of the category of spectral sequences with respect to the class of weak equivalences given by maps which are quasi-isomorphisms on a fixed page. We introduce the category of extended spectral sequences and show that this is b
Externí odkaz:
http://arxiv.org/abs/2406.02777
Motivated by its link with functor homology, we study the prop freely generated by the operadic suspension of the operad Com. We exhibit a particular family of generators, for which the composition and the symmetric group actions admit simple descrip
Externí odkaz:
http://arxiv.org/abs/2402.12895
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 2851-2888
We construct a cubical analogue of the rigidification functor from quasi-categories to simplicial categories present in the work of Joyal and Lurie. We define a functor from the category of cubical sets of Doherty-Kapulkin-Lindsey-Sattler to the cate
Externí odkaz:
http://arxiv.org/abs/2211.13679
Autor:
Livernet, Muriel, Whitehouse, Sarah
Let $R$ be a commutative ring with unit. We consider the homotopy theory of the category of spectral sequences of $R$-modules with the class of weak equivalences given by those morphisms inducing a quasi-isomorphism at a certain fixed page. We show t
Externí odkaz:
http://arxiv.org/abs/2207.02156
We present a family of model structures on the category of multicomplexes. There is a cofibrantly generated model structure in which the weak equivalences are the morphisms inducing an isomorphism at a fixed stage of an associated spectral sequence.
Externí odkaz:
http://arxiv.org/abs/2001.10873
Autor:
LIVERNET, MURIEL1 muriel.livernet@imj-prg.fr, WHITEHOUSE, SARAH2 s.whitehouse@sheffield.ac.uk
Publikováno v:
Homology, Homotopy & Applications. 2024, Vol. 26 Issue 1, p69-86. 18p.
A multicomplex, also known as a twisted chain complex, has an associated spectral sequence via a filtration of its total complex. We give explicit formulas for all the differentials in this spectral sequence.
Comment: 8 pages. Exposition improve
Comment: 8 pages. Exposition improve
Externí odkaz:
http://arxiv.org/abs/1809.00616
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150 (2020) 2815-2848
Let k be a commutative ring with unit. We endow the categories of filtered complexes and of bicomplexes of k-modules, with cofibrantly generated model structures, where the class of weak equivalences is given by those morphisms inducing a quasi-isomo
Externí odkaz:
http://arxiv.org/abs/1805.00374
Publikováno v:
In Topology and its Applications 1 July 2022 316
An affine action of an associative algebra $A$ on a vector space $V$ is an algebra morphism $A \to V \rtimes {\rm End}(V)$, where $V$ is a vector space and $V \rtimes {\rm End}(V)$ is the algebra of affine transformations of $V$. The one dimensional
Externí odkaz:
http://arxiv.org/abs/1612.06363