24 citations · 24 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…