November 16, 2024
Farkhondeh Takhteh

Farkhondeh Takhteh

Academic Rank: Assistant professor
Address:
Degree: Ph.D in Mathematical Analysis
Phone: 09189285699
Faculty: Faculty of Intelligent Systems and Data Science

Research

Title
Graph quasi continuous functions and densely continuous forms
Type Thesis
Keywords
توابع با نمودار شبه پيوسته، فرم هاي چگال وار پيوسته، نگاشت هاي نم پيوسته بالايي مينيمال، نگاشت هاي نيم پيوسته فشرده بالايي مينيمال
Researchers Mohammad Hayati (Student) , Mehrdad Karavan jahromi (Primary advisor) , Farkhondeh Takhteh (Advisor)

Abstract

In this thesis, graph quasi continuous functions and densely continuous forms are studied. First it is shown that there is a close relation between the notions of graph quasi continuous functions and minimal maps as well as the notions of graph quasi continuous functions and densely uscocontinuous forms. Then it is shown that every function with values in a compact Hausdorff space is graph quasi continuous, more generally every locally compact function is graph quasi continuous.