Free products of topological groups which are ๐_{๐}-spaces
Free products of topological groups which are ๐_{๐}-spaces
Let <italic>G</italic> and <italic>H</italic> be topological groups and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G asterisk upper H"> <mml:semantics> <mml:mrow> <mml:mi>G</mml:mi> <mml:mo>โ<!-- โ --></mml:mo> <mml:mi>H</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">G \ast H</mml:annotation> </mml:semantics> </mml:math> </inline-formula> their free product topologized in the manner due to Graev. The topological space <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper โฆ