폐그래프와 Hyper 폐함수에 대하여

Abstract

이 논문에서는 함수가 폐그래프를 갖기위한 필요충분조건을 토대로하여 일반화된 새로운 개념, hyper폐함수를 도입하고 정의공간, 치역공간등의 성질에 따라 그 새로운 개념이 어떠한 성질들을 갖는가를 조사 연구하였다.

This article begins with the generalization of necessary and sufficient condition for any function to have closed graph [4]. Its generalization led us introduce a new concept of hyper closed functions. Some propositions have been worked out under different situations making functions hyper closed. We close our article by investigating some separation properties induced by hyper closed functions either on its domain, or range, or on both spaces.

This article begins with the generalization of necessary and sufficient condition for any function to have closed graph [4]. Its generalization led us introduce a new concept of hyper closed functions. Some propositions have been worked out under different situations making functions hyper closed. We close our article by investigating some separation properties induced by hyper closed functions either on its domain, or range, or on both spaces.