1 citations · 1 across the 3 of their papers we have counts for
9 papers
Homotopy groups of shrinking wedges of non-simply connected CW-complexes
Jeremy Brazas
In this paper, we study the homotopy groups of a shrinking wedge of a sequence of non-simply connected CW-complexes. Using a combination of generalized covering space…
Sequential -connectedness and infinite factorization in higher homotopy groups
Jeremy Brazas
A space is "sequentially -connected" at if for every and sequence of maps that converges toward a point , the m…
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…
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…
Dense products in fundamental groupoids
Jeremy Brazas
Infinitary operations, such as products indexed by countably infinite linear orders, arise naturally in the context of fundamental groups and groupoids. Despite the fact that the u…
Scattered products in fundamental groupoids
Jeremy Brazas
Infinitary operations, such as products indexed by countably infinite linear orders, arise naturally in the context of fundamental groups and groupoids. We prove that the well-defi…