Topological Groups and Related Structures

By A. Arhangel'skii, Mikhail Tkachenko. 2008

824 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/cba3d1479ea1391594218eab71faa4717be3f72e

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In Computational Theory and Mathematics

1. Jeremy Brazas

Citations in the corpus

• The fundamental group as a topological group (2010, methodology): “retation of pushouts in the category of topological groups. 1A quasitopological group is a group with topology such that inversion is continuous and multiplication is continuous in each variable. See [1] for basic theory. 1 arXiv:1009.3972v1 [math.AT] 21 Sep 2010 Recall that the path component space”
• The Markov–Zariski topology of an abelian group (2010, background): “Indeed, observe that {0} = G[1] ∈ H = ∅, since 1 is a proper divisor of every n ∈ N \ {1}.”