Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Balchin, Scott"'
Autor:
Balchin, Scott, Tecklenburg, Florian
Building on results of Bazzoni-\v{S}\v{t}ov\'{\i}\v{c}ek, we give a complete classification of the frame of smashing ideals for the derived category of a finite dimensional valuation domain. In particular, we give an explicit construction of an infin
Externí odkaz:
http://arxiv.org/abs/2407.11791
We study the tensor-triangular geometry of the category of equivariant $G$-spectra for $G$ a profinite group, $\mathsf{Sp}_G$. Our starting point is the construction of a ``continuous'' model for this category, which we show agrees with all other mod
Externí odkaz:
http://arxiv.org/abs/2401.01878
We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositions. As an application we obtain new results about the uniqueness of e
Externí odkaz:
http://arxiv.org/abs/2302.12134
We provide a general recursive method for constructing transfer systems on finite lattices. Using this we calculate the number of homotopically distinct $N_\infty$ operads for dihedral groups $D_{p^n}$, $p > 2$ prime, and cyclic groups $C_{qp^n}$, $p
Externí odkaz:
http://arxiv.org/abs/2209.06992
Publikováno v:
Tunisian J. Math. 5 (2023) 479-504
We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$-$N_\infty$ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes $\operatorname{Sub}(G)/G$.
Comment: v2: up
Comment: v2: up
Externí odkaz:
http://arxiv.org/abs/2209.06798
We investigate the rich combinatorial structure of premodel structures on finite lattices whose weak equivalences are closed under composition. We prove that there is a natural refinement of the inclusion order of weak factorization systems so that t
Externí odkaz:
http://arxiv.org/abs/2209.03454
Autor:
Balchin, Scott, Stevenson, Greg
We introduce a new topological invariant of a rigidly-compactly generated tensor-triangulated category and two new notions of support. The first is based on smashing subcategories: it is unknown whether the frame of smashing subcategories is spatial
Externí odkaz:
http://arxiv.org/abs/2109.11934
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 enumerate all model structures, exhibiting a rich combinatorial structure e
Externí odkaz:
http://arxiv.org/abs/2109.07803