Add to ORKGAbstract. In this paper, we unify various approaches to generalized covering space theory by introducing a categorical framework in which coverings are defined purely in terms of unique lifting properties. For each category C of path-connected spaces having the unit disk as an object, we construct a category of C-coverings over a given space X that embeds in the category of pi1(X,x0)-sets via the usual monodromy action on fibers. When C is extended to its coreflective hull H (C), the resulting category of based H (C)-coverings is complete, has an initial object, and often characterizes more of the subgroup lattice of pi1(X,x0) than traditional covering spaces
AbstractWe develop a covering group theory for a large category of “coverable” topological groups, w...
AbstractWe develop a generalized covering space theory for a class of uniform spaces called coverabl...
In this paper we introduce the notion of an extensive 2-category, to be thought of as a "2-cat...
Covering space theory is a classical tool used to characterize the geometry and topology of real or ...
Covering Spaces may be studied from several points of view and with respect to many kinds of spaces....
The interactions between topological covering spaces, homotopy and group structures in a fibered spa...
AbstractWe develop a generalized covering space theory for a class of uniform spaces called coverabl...
The classical Galois theory of fields and the classification of covering spaces of a path-connected,...
The spaces of coverings (SoC) arise from various configuration spaces of the covering problems. We s...
AbstractIn Rips complexes and covers in the uniform category (Brodskiy et al. [4]) we define, follow...
The theory of covering spaces is well-behaved when the base spaceis locally path connected and semil...
A categorical group is a kind of categorization of group and similarly a categorical ring is a categ...
AbstractWhile the fundamental group of a topological space is sufficient for the study of covering s...
We introduce a new notion of covering projection E X of a topological space X which reduces to the ...
AbstractWe introduce the notion of a locally semisimple covering with respect to a class X of object...
AbstractWe develop a covering group theory for a large category of “coverable” topological groups, w...
AbstractWe develop a generalized covering space theory for a class of uniform spaces called coverabl...
In this paper we introduce the notion of an extensive 2-category, to be thought of as a "2-cat...
Covering space theory is a classical tool used to characterize the geometry and topology of real or ...
Covering Spaces may be studied from several points of view and with respect to many kinds of spaces....
The interactions between topological covering spaces, homotopy and group structures in a fibered spa...
AbstractWe develop a generalized covering space theory for a class of uniform spaces called coverabl...
The classical Galois theory of fields and the classification of covering spaces of a path-connected,...
The spaces of coverings (SoC) arise from various configuration spaces of the covering problems. We s...
AbstractIn Rips complexes and covers in the uniform category (Brodskiy et al. [4]) we define, follow...
The theory of covering spaces is well-behaved when the base spaceis locally path connected and semil...
A categorical group is a kind of categorization of group and similarly a categorical ring is a categ...
AbstractWhile the fundamental group of a topological space is sufficient for the study of covering s...
We introduce a new notion of covering projection E X of a topological space X which reduces to the ...
AbstractWe introduce the notion of a locally semisimple covering with respect to a class X of object...
AbstractWe develop a covering group theory for a large category of “coverable” topological groups, w...
AbstractWe develop a generalized covering space theory for a class of uniform spaces called coverabl...
In this paper we introduce the notion of an extensive 2-category, to be thought of as a "2-cat...