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On the Category of Local Homeomorphisms with Unique Path Lifting Property
In this talk, we discuss on the category of local homeomorphisms of topological spaces with
unique path lifting property. We intend to find a classification of these local homeomorphisms
similar to the ...
From 2-Complexes to Group Theory
In this talk, we introduce a topological interpretation for presentation of groups
which is presented by Brent Everit in 2003. In particular, Using simplicial complexes and
topological methods, we establishsome ...
Solvable groups, Cayley graphs and Complexes
In this talk, we deal with the solvable groups and we use topological methods to prove some
theorems in this field. In particular, we use Cayley graphs to construct suitable 2-complexes corresponding
to the ...
Some Properties of the Schur Multiplier with Algebraic Topological Approach
In this talk using a relationship between the Shur multiplier of a group G the fundamental group and the second homology group of the E-M spaces of G, we present new proves for some famous properties of the Shur multiplier ...
Some applications of algebraic topological methods to group theory
In this talk, using properties of fundamental groups and covering
spaces of connected polyhedra, we present topological proof for some
famous theorems in group theory such as Nielsen-Schreier theorem,
Kurosh ...
Some Applications of Algebraic Topological Methods to Group Theory
In this talk, using properties of fundamental groups and covering
spaces of connected polyhedra, we present topological proof for some famous
theorems in group theory such as Nielsen-Schreier theorem, Kurosh ...
Finitely presented groups in topological view points
In this talk using properties of fundamental groups and covering spaces of connected polyhedra and complexes, we present topological proofs for famous theorems about finitely presented groups....
On the Classification of Covering Spaces
groups and covering spaces, we give a classification
for connected covering spaces of X based on the conjugacy classes of subgroups with open core in
p qt o p
1 (X ; x ) ....
Small loop spaces and covering theory of non-homotopically Hausdorff spaces
This paper is devoted to spaces that are not homotopically Hausdorff and study their covering spaces. We introduce the notion of small covering and prove that every small covering of $X$ is the universal covering in the categorical sense. Also, we...
Spanier spaces and covering theory of non-homotopically path Hausdorff spaces
H. Fischer et al. (Topology and its Application, 158 (2011) 397-408.) introduced the Spanier group of a based space $(X,x)$ which is denoted by $\\psp$.
By a Spanier space we mean a space $X$ such that $\\psp=\\pi_1(X,x)$, ...