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Answers
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1
Trichotomies in mathematics
0
Riemannian Geometry Introductory Text
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Not especially famous, long-open problems which higher mathematics beginners can understand
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On connection between Knot theory and Operator algebra
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Is $C^{\infty}[0,1]$ or $S$ separable?
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Possible directions in noncommutative geometry
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Corona Theorem in several variables