Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 3 of 3 for “"Borel sets."”.
-
Almost everywhere continuous functions
… Hausdorff space. Let µ be a complete regular Borel measure defined on the Borel sets of X. It is shown that there is a base for the topology of X consisting of open sets whose boundaries are of µ measure zero. Let (S, p) be a metric space. It is shown that a function on X whose range is a …
-
The Study of Translation Equivalence on Integer Lattices
… is a contribution to the study of countable Borel equivalence relations on standard Borel spaces. We concentrate here on the study of the nature of translation equivalence. We study these known hyperfinite spaces in order to gain insight into the approach necessary to classify certain …
-
Τοπολογίες σε σύνολα συναρτήσεων
… ϑεωρούμε τα σύνολα B (Y,Z), όπου α < ω1, των Borel απεικονίσεων τύπου α του χώρου Y στο χώρο Z και GZ (Y ) που αποτελείται από όλα τα υποσύνολα f−1(U), όπου f ∈ B (Y,Z) και U ανοικτό υποσύνολο του χώρου Z. Επί των συνόλων B (Y,Z) και GZ (Y ) ορίζουμε νέες τοπολογίες και ερευνούμε σχέσεις …