کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6424716 1344295 2013 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generating Borel measurable mappings with continuous mappings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Generating Borel measurable mappings with continuous mappings
چکیده انگلیسی

We prove that the relative rank r(B(X):C(X)) of the semigroup of Borel mappings B(X) from X to X (with the composition of mappings as the semigroup operation) with respect to the semigroup of continuous functions C(X) from X to X is equal to ℵ1 if X is an uncountable Polish space which either can be retracted to a Cantor subset of X, or contains an arc, or is homeomorphic to its Cartesian square X2.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 12, 1 August 2013, Pages 1439-1443
نویسندگان
, , , ,