1 citations · 1 across the 4 of their papers we have counts for
5 papers
Cofibrantly generated model structures for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
Model structures for many different kinds of functor calculus can be obtained by applying a theorem of Bousfield to a suitable category of functors. In this paper, we give a genera…
Enriched functor categories for functor calculus
Lauren Bandklayder, Julia E. Bergner, Rhiannon Griffiths +2
In this paper we present background results in enriched category theory and enriched model category theory necessary for developing model categories of enriched functors suitable f…
Stable splitting of mapping spaces via nonabelian Poincaré duality
Lauren Bandklayder
We use nonabelian Poincaré duality to recover the stable splitting of compactly supported mapping spaces, , where is a parallelizable -manifold. Our me…
A proof of the DoldThom theorem via factorization homology
Lauren Bandklayder
The DoldThom theorem states that for a sufficiently nice topological space, M, there is an isomorphism between the homotopy groups of the infinite symmetric product of M and the…
Stability for second-order chaotic sigma delta quantization
Lauren Bandklayder, Rachel Ward
We prove that that second-order (double-loop) chaotic sigma-delta schemes are stable - within a certain parameter range, all state variables of the system are guaranteed to remain…