K. Ormsby

activity

20102023

most citedOn the homotopy of Q(3) and Q(5) at the prime 2

28 citations · 87 across the 15 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AT2021★ 1 cited

Saturated and linear isometric transfer systems for cyclic groups of order $p^{m} q^{n}$

Usman Hafeez, Peter Marcus, Kyle Ormsby +1

Transfer systems are combinatorial objects which classify $N_{\infty}$ operads up to homotopy. By results of A. Blumberg and M. Hill, every transfer system associated to a linear iso…

math.AT2021

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 $[n]$ , we enume…

math.AT2021

Self-duality of the lattice of transfer systems via weak factorization systems

Evan E. Franchere, Kyle Ormsby, Angélica M Osorno +2

For a finite group $G$ , $G$ -transfer systems are combinatorial objects which encode the homotopy category of $G$ - $N_{\infty}$ operads, whose algebras in $G$ -spectra are $E_{\infty}$ $G…

Saturated and linear isometric transfer systems for cyclic groups of order pmqn

Model structures on finite total orders

Self-duality of the lattice of transfer systems via weak factorization systems

Saturated and linear isometric transfer systems for cyclic groups of order $p^{m} q^{n}$