21 citations · 82 across the 9 of their papers we have counts for
9 papers
Topological pullback, covering spaces, and a triad of Quillen
Jack S. Calcut, John D. McCarthy
We study pullback from a topological viewpoint with emphasis on pullback of covering maps. We generalize a triad of Quillen on properties of the pullback functor.
Topological and algebraic pullback functors
Jack S. Calcut, John D. McCarthy, Jeremy J. Walthers
We give algebraic equivalents for certain desirable properties of pullback functors on categories of coverings and group sets, namely nullity zero, essential injectivity, and essen…
Discreteness and Homogeneity of the Topological Fundamental Group
Jack S. Calcut, John D. McCarthy
For a locally path connected topological space, the topological fundamental group is discrete if and only if the space is semilocally simply-connected. While functoriality of the t…
On fundamental groups of quotient spaces
Jack S. Calcut, Robert E. Gompf, John D. McCarthy
In classical covering space theory, a covering map induces an injection of fundamental groups. This paper reveals a dual property for certain quotient maps having connected fibers,…
Automorphisms of the complex of domains
John D. McCarthy, Athanase Papadopoulos
In this paper, we study a flag complex which is naturally associated to the Thurston theory of surface diffeomorphisms for compact connected orientable surfaces with boundary. The…
Injective Simplicial Maps of the Arc Complex
Elmas Irmak, John D. McCarthy
In this paper, we prove that each injective simplicial map of the arc complex of a compact, connected, orientable surface with nonempty boundary is induced by a homeomorphism of th…