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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

2 votes
0 answers
143 views

About the 7.3.5. Corollary of the book "Measure Theory" by V.I. Bogachev

According to the 7.3.5. Corollary of the book "Measure Theory" by V.I. Bogachev we have the following result: Let $(X,\tau)$ be a completely regular space and let $\Gamma$ be a family of continuous f …
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3 votes
0 answers
54 views

Can we generalize the Kuratowski Extension Theorem to Souslin spaces?

The Kuratowski Extension Theorem says: Let $(X,\mathcal{A})$ be a measurable space, $Y$ be a polish space, $A\subseteq X$, and $f:A\to Y$ be a measurable map. Then there is a measurable function $F:X\ …
rfloc's user avatar
  • 649