Fundamental groups and Euler characteristics of sphere-like digital images
نویسندگان
چکیده
منابع مشابه
Cohomology and Euler Characteristics of Coxeter Groups
Coxeter groups are familiar objects in many branches of mathematics. The connections with semisimple Lie theory have been a major motivation for the study of Coxeter groups. (Crystallographic) Coxeter groups are involved in Kac-Moody Lie algebras, which generalize the entire theory of semisimple Lie algebras. Coxeter groups of nite order are known to be nite re ection groups, which appear in in...
متن کاملFundamental Properties of Digital Simplicial Homology Groups
In this article we give characteristic properties of the simplicial homology groups of digital images which are based on the simplicial homology groups of topological spaces in algebraic topology. We then investigate EilenbergSteenrod axioms for the simplicial homology groups of digital images. We state universal coefficient theorem for digital images. We conclude that the Künneth formula for s...
متن کاملFundamental Functor Based on Hypergroups and Groups
The purpose of this paper is to compute of fundamental relations of hypergroups. In this regards first we study some basic properties of fundamental relation of hypergroups, then we show that any given group is isomorphic to the fundamental group of a nontrivial hypergroup. Finally we study the connections between categories of hypergroups and groups via the fundam...
متن کاملEuler Characteristics and Imbeddings of Hyperbolic Coxeter Groups
This paper has a twofold purpose. The first is to compute the Euler characteristics of hyperbolic Coxeter groups WS of level 1 or 2 by a mixture of theoretical and computer aided methods. For groups of level 1 and odd values of jSj, the Euler characteristic is related to the volume of the fundamental region of WS in hyperbolic space. Secondly we note two methods of imbedding such groups in each...
متن کاملOn subgroups of topologized fundamental groups and generalized coverings
In this paper, we are interested in studying subgroups of topologized fundamental groups and their influences on generalized covering maps. More precisely, we find some relationships between generalized covering subgroups and the other famous subgroups of the fundamental group equipped with the compact-open topology and the whisker topology. Moreover, we present some conditions unde...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied General Topology
سال: 2016
ISSN: 1989-4147,1576-9402
DOI: 10.4995/agt.2016.4624