The free topological group on a simply connected space
The free topological group on a simply connected space
It is shown that the free <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="k"> <mml:semantics> <mml:mi>k</mml:mi> <mml:annotation encoding="application/x-tex">k</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-group on a simply connected locally equiconnected space is simply connected. This result is then used to verify, for a large class of groups, the conjecture of Ordman that <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" …