vix.ing · top · new · best · stats · spec

Inverse Limits and Topologies of Infinite Graphs

2016/12/17 by Babak Miraftab, Miraftab, Babak
Computer Science · Mathematics · #05C10 #05C63 #57M15 #57M99 #Advanced Graph Theory Research #Advanced Topology and Set Theory #Combinatorics (math.CO) #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.1612.05803

openalex publication_date 2016/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two of the natural topologies for infinite graphs with edge-ends are Etop and Itop. In this paper, we study and characterize them. We show that Itop can be constructed by inverse limits of inverse systems of graphs with finitely many vertices. Furthermore, as an application of the inverse limit approach, we construct a topological spanning tree in Itop

Related