L3_A
2.2 Interior of a set
(1)元素x的位置與子集A的關係
L3_B
2.2 Interior of a set(cont.)
2.2 Interior of a set(cont.)
(1)證明Thm:1.int(A) is open
2.int(A) is the largest open subset of A
3. A is open <=> A=int(A)
(2)int(A) 與集合
L3_C
2.2 Interior of a set(cont.)
2.2 Interior of a set(cont.)
(1)int(A).int(B)的集合運算關係
L3_D
2.3 Closed sets
2.3 Closed sets
(1)Closed sets 是 Open sets 的補集