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The Mobius Strip is Not a Smooth Surface
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Topology
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Proof That The Real Numbers With the Euclidean Metric is Complete
Proof That the Real Numbers With the Topology Consisting of Open Intervals is Metrizable
Proof That the Reciprocal Sequence is Cauchy
Proof That the Restriction Function is Continuous
Proof That The Set of Integers is A Nowhere Dense Subset of the Real Numbers
Proof That the Set of All Open Intervals is a Topology on the Set of Real Numbers
Proof That The Set of Rational Numbers is Everywhere Dense in the Set of Real Numbers
Proof That the Set of Real Numbers With the Cofinite Topology is Not a First Countable Space
Proof That the Set of Real Numbers With the Discrete Topology is Not Second Countable
Proof That the Sum of the Indices of Singular Points on a Surface is Equal to the Euler Characteristic
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