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Define the winking owl topology as the topology on the set of three elements X = {O, , V} with open sets {W, X, {0},{-},{0,
Define the winking owl topology as the topology on the set of three elements X = {O, , V} with open sets {W, X, {0},{-},{0, }}. i. Draw the topology schematically so it looks like a winking owl. Isn't it cute?! ii. Consider the infinite sequence (0, -,0, ,...). What does this sequence converge to and why? Define the winking owl topology as the topology on the set of three elements X = {O, , V} with open sets {W, X, {0},{-},{0, }}. i. Draw the topology schematically so it looks like a winking owl. Isn't it cute?! ii. Consider the infinite sequence (0, -,0, ,...). What does this sequence converge to and why
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