44 citations · 129 across the 32 of their papers we have counts for
4 papers · 1 filter
The infinitary n-cube shuffle
Jeremy Brazas
In this paper, we formalize the sense in which higher homotopy groups are "infinitely commutative." In particular, we both simplify and extend the highly technical procedure, due t…
On maps with continuous path lifting
Jeremy Brazas, Atish Mitra
We study a natural generalization of covering projections defined in terms of unique lifting properties. A map has the "continuous path-covering property" if all paths i…
Infinitary commutativity and fundamental groups of topological monoids
Jeremy Brazas, Patrick Gillespie
The well-known Eckmann-Hilton Principle may be applied to prove that fundamental groups of -spaces are commutative. In this paper, we identify an infinitary analogue of the Eckm…
Transfinite product reduction in fundamental groupoids
Jeremy Brazas
Infinite products, indexed by countably infinite linear orders, arise naturally in the context of fundamental groupoids. Such products are called "transfinite" if the index orders…