24 citations · 24 across the 2 of their papers we have counts for
5 papers
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…
Criteria for homotopic maps to be so along monotone homotopies
Sanjeevi Krishnan
The state spaces of machines admit the structure of time. A homotopy theory respecting this additional structure can detect machine behavior unseen by classical homotopy theory. In…
A convenient category of locally preordered spaces
Sanjeevi Krishnan
As a practical foundation for a homotopy theory of abstract spacetime, we extend a category of certain compact partially ordered spaces to a convenient category of locally preorder…