01 تیر 1403
حسن ملكي

حسن ملکی

مرتبه علمی: استادیار
نشانی:
تحصیلات: دکترای تخصصی / ریاضی
تلفن:
دانشکده: دانشکده علوم ریاضی و آمار

مشخصات پژوهش

عنوان
T-Spaces
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Generalized group, generalized action, transitivity, T -space, quotient space
سال
2015
مجله Turkish Journal Of Mathematics
پژوهشگران حسن ملکی

چکیده

In this paper, using generalized groups and their generalized actions, we define and study the notion of T - spaces. We study properties of the quotient space of a T-space and we present the conditions that imply the Hausdorff property for it. We also prove some essential results about topological generalized groups. As a main result, we show that for each positive integer n there is a topological generalized group T with n identity elements. Moreover, we study the maps between two T -spaces and we consider the notion of T -transitivity.