(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let ℝ be set of real numbers. Which of the following collection of subsets of ℝ defines a topology in ℝ.

a) The empty set and all sets which contain closed interval [0,1] as a subset.

b)R and all subsets of closed interval [0,1].

c)The empty set, ℝ and all sets such that A not subset of [0,1] and [0,1] not subset of A.

Determine if obtained topology is connected and Hausdorff.

3. The attempt at a solution

Im not sure how to interpret subsets of the closed interval [0,1] and this doesnt seem like it would be an open set.

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# Homework Help: Defining Topological Spaces help

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