6 citations · 16 across the 10 of their papers we have counts for
4 papers · 1 filter
Left and right Bousfield localization on lattices
Andrés Carnero Bravo, Shuchita Goyal, Sofía Martínez Alberga +3
The key information of a model category structure on a poset is encoded in a transfer system, which is a combinatorial gadget, originally introduced to investigate homotopy coheren…
Cofibration category structures on the category of graphs
Shuchita Goyal, Rekha Santhanam
In this article, we show that there is no cofibration category structure on the category of finite graphs with -homotopy equivalences as the class of weak equivalences. Fur…
The Borsuk-Ulam theorem for planar polygon spaces
Navnath Daundkar, Priyavrat Deshpande, Shuchita Goyal +1
The moduli space of planar polygons with generic side lengths is a closed, smooth manifold. Mapping a polygon to its reflected image across the -axis defines a fixed-point-free…
(Lack of) Model Structures on the Category of Graphs
Shuchita Goyal, Rekha Santhanam
In this article, we study model structures on the category of finite graphs with -homotopy equivalences as the weak equivalences. We show that there does not exist an analo…