Free topological groups and the projective dimension of a locally compact abelian group
Free topological groups and the projective dimension of a locally compact abelian group
It is shown that a free topological group on a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="k Subscript omega"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>k</mml:mi> <mml:mi>ω<!-- ω --></mml:mi> </mml:msub> </mml:mrow> <mml:annotation encoding="application/x-tex">{k_\omega }</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-space is a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="k Subscript omega"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>k</mml:mi> <mml:mi>ω<!-- ω --></mml:mi> …