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show that the finite intersection of open sets is non empty. for the cocountable Topology.

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#general-topology
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Metric spaces and continous functions.

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#real-analysis #general-topology #proof-verification #continuity #metric-spaces
297
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Best resources for learning/practicing beginning topology?

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#general-topology #proof-writing #advice
92
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Understanding uniqueness in Banach's Fixed Point Theorem

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#general-topology #proof-explanation
314
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Notation in point set Topology

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#real-analysis #general-topology #notation
439
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On the space of sequences with finitely many non-zero components with the supremum norm and its closed unit disc

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#real-analysis #general-topology #metric-spaces
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Properties of dictionary order topology

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#general-topology
144
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Not continuous function $f: \mathbb{Z} \to \mathbb{Z}$

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#general-topology #topological-groups
52
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Metric spaces and boundedness

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#real-analysis #general-topology #proof-verification #metric-spaces #proof-writing
334
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If a collection of closed sets of arbitrary cardinality in a metric space has empty intersection, does some countable subcollection?

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#general-topology #metric-spaces
47
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The intersection of Riemann-Stieltjes integrable functions

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#real-analysis #general-topology #functional-analysis #metric-spaces
45
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Is closedness assumption is essential in following argument?

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#real-analysis #general-topology #metric-spaces #examples-counterexamples
49
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accumulation point of infinite compact subset of $\mathbb{R}^2$

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#real-analysis #general-topology
114
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Topology: Question on the inverse set

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#general-topology
34
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Two different dense open subsets

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#general-topology #analysis

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