【摘要】：本文對(duì)一般廣義近似空間(U,R)進(jìn)行了拓?fù)涫窖芯?利用R-開集概念誘導(dǎo)了廣義近似空間對(duì)應(yīng)的拓?fù)淇臻g,并利用誘導(dǎo)的拓?fù)淇臻g定義了相應(yīng)廣義近似空間的T_0性與T_1性及拓?fù)渚o性。證明了廣義近似空間的T_0性強(qiáng)于T_0~a性,T_1性與T_1~a性等價(jià);證明了廣義近似空間的關(guān)系緊性強(qiáng)于拓?fù)渚o性,并用反例說明了關(guān)于分離性和緊性其他不能蘊(yùn)含的情形。
[Abstract]:In this paper, the topological formula of general generalized approximate space (U, R) is studied. The topological space corresponding to generalized approximate space is induced by using the concept of R-open set, and the T0 property, T1 property and topological compactness of the corresponding generalized approximate space are defined by using the induced topological space. It is proved that the T _ 0 property of the generalized approximate space is stronger than the T 鈮，

本文編號(hào)：2526810