On the completion of Hausdorff locally solid Riesz spaces
On the completion of Hausdorff locally solid Riesz spaces
In this paper we consider Hausdorff locally solid Riesz spaces <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis upper L comma tau right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mi>L</mml:mi> <mml:mo>,</mml:mo> <mml:mi>τ<!-- τ --></mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">(L,\tau )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and we denote by <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-parenthesis ModifyingAbove upper L …