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15
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Completion of $\mathcal C_{\mathcal C}(\mathbb R)$ with supremum metric

Published on
#real-analysis #metric-spaces
248
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Two variants of proof for Baire's category theorem

Published on
#functional-analysis #metric-spaces #baire-category
223
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Totally bounded space.

Published on
#general-topology #functional-analysis #metric-spaces #compactness
305
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Proving connectedness of a topological group using identity component

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#general-topology #group-theory #metric-spaces #connectedness #topological-groups
142
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The distance on a graph

Published on
#probability #combinatorics #graph-theory #metric-spaces #random-graphs
114
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How to properly use the triangle equality when proving if a function is a metric on a set or not?

Published on
#real-analysis #metric-spaces
31
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Using the triangle inequality on a metric which measures dissimilarities in co-ordinates

Published on
#metric-spaces
217
Views

Proof that Integral is continuous in given metric space

Published on
#proof-verification #metric-spaces #continuity #proof-writing #epsilon-delta
36
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Uniform convergence for sections of functions

Published on
#real-analysis #metric-spaces #compactness #uniform-convergence #uniform-continuity
258
Views

Show that Urysohn function of two closed sets $F$ and $G$, with $d(F,G)>0$, is uniformly continuous.

Published on
#metric-spaces #uniform-continuity
28
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To determine denseness of a given set

Published on
#real-analysis #metric-spaces
455
Views

Examples of topology preserving transforms

Published on
#general-topology #metric-spaces
114
Views

Definition of dense sets?

Published on
#general-topology #metric-spaces
30
Views

Proof of an inequality in a metric space

Published on
#inequality #metric-spaces
531
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Find a condition that minimum of two metrics is again a metric

Published on
#general-topology #metric-spaces

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