124 citations · 666 across the 26 of their papers we have counts for
4 papers · 2 filters
Colimits in Oriented Category Theory
David Gepner, Hadrian Heine
In higher category theory, lax colimits are often understood to be a more useful and powerful generalization of usual (homotopy) colimits, which can be recovered from the lax colim…
Fibrations in Oriented Category Theory
David Gepner, Hadrian Heine
We study fibrations of higher categories from the perspective of oriented category theory, a framework which accounts for lax phenomena in higher category theory via systematic enr…
An Oriented Street--Roberts Conjecture
David Gepner, Hadrian Heine
We formulate a notion of oriented polytope, including Street's oriented simplices and Gray's oriented cubes, and use this to prove an oriented version of the Street--Roberts conjec…
Homotopy Posets, Postnikov Towers, and Hypercompletions of -Categories
David Gepner, Hadrian Heine
We show that basic homotopical notions such as homotopy sets and groups, connected and truncated maps, cellular constructions and skeleta, etc., extend to the setting of $(\infty,\…