4. A space X is called separable if X has a countable dense subset. Which of the following is not correct: R with the usual topology is separable O R with the left ray topology is separable O Rwith the co-countable topology is separable Rwith the indiscrete topology is separable O R with the cofinite topology is separable

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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4. A space X is called separable if X has a countable dense subset. Which of the following is not
correct: *
R with the usual topology is separable
R with the left ray topology is separable
O Rwith the co-countable topology is separable
Rwith the indiscrete topology is separable
R with the cofinite topology is separable
Transcribed Image Text:4. A space X is called separable if X has a countable dense subset. Which of the following is not correct: * R with the usual topology is separable R with the left ray topology is separable O Rwith the co-countable topology is separable Rwith the indiscrete topology is separable R with the cofinite topology is separable
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