On $(α, β)$−Linear Connectivity

Author(s):

F. Ayatollah Zadeh Shirazi , A. Hosseini

Abstract:
In this paper we introduce $(alpha,beta)-$linear connected spaces for nonzero cardinal numbers $alpha$ and $beta$. We show that $(alpha,beta)-$linear connectivity approach is a tool to classify the class of all linear connected spaces.
Keywords:

α−Arc , (α β)−Linear connection degree , (α β)−Linear connectivity , Arc , β−Separated family , Linear connected , Path , Path connected

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:11 Issue: 1, May 2016
Pages:
85 to 100
https://www.magiran.com/p1527379