9 citations · 33 across the 16 of their papers we have counts for
19 papers
Homotopy theory of spectral sequences
Muriel Livernet, Sarah Whitehouse
Let be a commutative ring with unit. We consider the homotopy theory of the category of spectral sequences of -modules with the class of weak equivalences given by those mor…
Model category structures on multicomplexes
Xin Fu, Ai Guan, Muriel Livernet +1
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 inducin…
The plethory of operations in complex topological K-theory
William Mycroft, Sarah Whitehouse
We provide a concrete introduction to the topologised, graded analogue of an algebraic structure known as a plethory, originally due to Tall and Wraith. Stacey and Whitehouse showe…
On the spectral sequence associated to a multicomplex
Muriel Livernet, Sarah Whitehouse, Stephanie Ziegenhagen
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 differential…
Model category structures and spectral sequences
Joana Cirici, Daniela Egas Santander, Muriel Livernet +1
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 o…
Derived A-infinity algebras and their homotopies
Joana Cirici, Daniela Egas Santander, Muriel Livernet +1
The notion of a derived A-infinity algebra, considered by Sagave, is a generalization of the classical notion of A-infinity algebra, relevant to the case where one works over a com…