24 citations · 41 across the 9 of their papers we have counts for
10 papers
The Uniform Homotopy Category
Sanjeevi Krishnan, Crichton Ogle
This paper gives a uniform-theoretic refinement of classical homotopy theory. Both cubical sets (with connections) and uniform spaces admit classes of weak equivalences, special ca…
Invertibility in Category Representations
Sanjeevi Krishnan, Crichton Ogle
Inverse categories are categories in which every morphism x has a unique pseudo-inverse y in the sense that xyx=x and yxy=y. Persistence modules from topological data analysis and…
A Hurewicz Model Structure for Directed Topology
Sanjeevi Krishnan, Paige Randall North
This paper constructs an h-model structure for diagrams of streams, locally preordered spaces. Along the way, the paper extends some classical characterizations of Hurewicz fibrati…
Triangulations of Conal Manifolds
Sanjeevi Krishnan
Casual structure can take the form of cone bundles on a manifold, more general local preorders on a topological space, or simplicial orientations implicit in a simplicial set. This…
Positive Alexander Duality for Pursuit and Evasion
Robert Ghrist, Sanjeevi Krishnan
Considered is a class of pursuit-evasion games, in which an evader tries to avoid detection. Such games can be formulated as the search for sections to the complement of a coverage…
Flow-Cut Dualities for Sheaves on Graphs
Sanjeevi Krishnan
This paper generalizes the Max-Flow Min-Cut (MFMC) theorem from the setting of numerical capacities to sheaves of partial semimodules over semirings on directed graphs. Motivating…