PROBLEM SET 8, PART 2: TOPOLOGY (H) DUE: APRIL 18, 2022 (1) [Products of paracompact spaces] (a) Prove: The Sorgenfrey line is p
![SOLVED: Find the closure the interior, and the boundary; in the Sorgenfrey line of the following subsets of R: 4 = [0,1], B = (1,2) U 3 U (4,5], and C =-!:n € N. Is the Sorgenfrey line separable? SOLVED: Find the closure the interior, and the boundary; in the Sorgenfrey line of the following subsets of R: 4 = [0,1], B = (1,2) U 3 U (4,5], and C =-!:n € N. Is the Sorgenfrey line separable?](https://cdn.numerade.com/ask_images/0148cfd754594f1f83f52e30e4b8a33e.jpg)
SOLVED: Find the closure the interior, and the boundary; in the Sorgenfrey line of the following subsets of R: 4 = [0,1], B = (1,2) U 3 U (4,5], and C =-!:n € N. Is the Sorgenfrey line separable?
![SOLVED: Consider the reals R together with the half-open interval topology Th this is the topology with basis [a,6) € R a < b The space (R,Th) is called the Sorgenfrey line. SOLVED: Consider the reals R together with the half-open interval topology Th this is the topology with basis [a,6) € R a < b The space (R,Th) is called the Sorgenfrey line.](https://cdn.numerade.com/ask_images/708af3a3e5084d4f81e91dbe388a82dc.jpg)