The function ring functors of pointfree topology revisited
عنوان مقاله: The function ring functors of pointfree topology revisited
شناسه ملی مقاله: JR_CGASAT-11-0_001
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_CGASAT-11-0_001
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
Bernhard Banaschewski - Department of Mathematics and Statistics, McMaster University, Hamilton, ON L۸S ۴K۱, Canada.
خلاصه مقاله:
Bernhard Banaschewski - Department of Mathematics and Statistics, McMaster University, Hamilton, ON L۸S ۴K۱, Canada.
This paper establishes two new connections between the familiar function ring functor {\mathfrak R} on the category {\bf CRFrm} of completely regular frames and the category {\bf CR}{\mathbf \sigma}{\bf Frm} of completely regular \sigma-frames as well as their counterparts for the analogous functor {\mathfrak Z} on the category {\bf ODFrm} of ۰-dimensional frames, given by the integer-valued functions, and for the related functors {\mathfrak R}^* and {\mathfrak Z}^* corresponding to the bounded functions. Further it is shown that some familiar facts concerning these functors are simple consequences of the present results.
کلمات کلیدی: Completely regular frames, zero dimensional frames, completely regular sigma-frames, zero dimensional sigma-frames, real-valued continuous functions and integer-valued continuous functions on frames
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1267959/