6 citations · 27 across the 19 of their papers we have counts for
21 papers
Bousfield Localizations on the Nonmodular Lattice
Sofía Martínez Alberga, Constanze Roitzheim
We provide a complete description of the model category structures on the nonmodular lattice . Furthermore we explain how these model category structures are related to each o…
Tensor-triangular rigidity in chromatic homotopy theory
Scott Balchin, Constanze Roitzheim, Jordan Williamson
We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositi…
Monoidal Properties of Franke's Exotic Equivalence
Nikitas Nikandros, Constanze Roitzheim
Franke's reconstruction functor R is known to provide examples of triangulated equivalences between homotopy categories of stable model categories, which are exotic in the sense th…
Levels of algebraicity in stable homotopy theories
Jocelyne Ishak, Constanze Roitzheim, Jordan Williamson
We study several different notions of algebraicity in use in stable homotopy theory and prove implications between them. The relationships between the different meanings of algebra…
Model structures on finite total orders
Scott Balchin, Kyle Ormsby, Angélica M. Osorno +1
We initiate the study of model structures on (categories induced by) lattice posets, a subject we dub homotopical combinatorics. In the case of a finite total order , we enume…
Equivariant homotopy commutativity for
Scott Balchin, Daniel Bearup, Clelia Pech +1
We investigate the combinatorial data arising from the classification of equivariant homotopy commutativity for cyclic groups of order for distinct pri…