Vector Space, Topological Space, Mathematics, Math, Linear Algebra.
requirement is that those sets, taken together, satisfy the three properties above. Let’s choose { }, {1}, {1, 3}, and {1, 3, 6} as our open sets for X = {1, 3, 6}. Hence, S = {{ }, {1}, {1, 3}, {1, 3, 6}}. Check 1: { } and X ={1, 3, 6} both belong to S. (DONE) Check 2: {1} ∪ {1, 3} = {1, 3} which