Abstract
Given an increasing sequence $(G_n)$ of topological groups, we study the topologies of the direct limits of the sequence $(G_n)$ in the categories of topological groups and of uniform spaces and find conditions under which these two direct limit topologies coincide.
Citation
Taras Banakh. Dušan Repovš. "Direct limit topologies in the categories of topological groups and of uniform spaces." Tohoku Math. J. (2) 64 (1) 1 - 24, 2012. https://doi.org/10.2748/tmj/1332767338
Information