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15
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Cauchy Sequence in subset of a metric space

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#real-analysis #sequences-and-series #metric-spaces #cauchy-sequences
73
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A uniformly continuous function on a bounded set whose image is not bounded?

Published on
#analysis #metric-spaces #uniform-continuity
573
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Show continuous functions need not be open maps and open maps need not be continuous.

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#real-analysis #general-topology #metric-spaces
25
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For given ponit $x$ in a metric space there is some open ball about $x$ such that closure of smaller ball about $x$ contained in that ball.

Published on
#metric-spaces
70
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Check if multi-variable function is differential

Published on
#derivatives #metric-spaces #partial-derivative
55
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Unique Partition of $\{1, \dotsc, n\}$ by Ultrametric Property

Published on
#real-analysis #algebraic-geometry #metric-spaces #ultrametric
403
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Closed sets in induced metric space

Published on
#proof-verification #metric-spaces
79
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Prove that the $g((a_1,b_1),(a_2,b_2))=max\{|a_1-a_2|,|b_1-b_2|\}$ is a metric?

Published on
#real-analysis #analysis #metric-spaces
47
Views

Embedding the cycle metric into a real vector space with metric $l_{p}$

Published on
#graph-theory #metric-spaces
41
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Proving $(\overline{A})'=A'$ if $(X,\tau)$ for $T_1$.

Published on
#general-topology #proof-verification #metric-spaces #proof-writing
267
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Topological Properties closed sets

Published on
#general-topology #metric-spaces
414
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Are continuous mappings on a compact metric space Lipschitz?

Published on
#real-analysis #metric-spaces
69
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Closure of an open ball in a weird subset?

Published on
#general-topology #metric-spaces
45
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Unique Completetion of a metric spaces: A question.

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#general-topology #metric-spaces
33
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About this space subset recording form

Published on
#general-topology #functional-analysis #metric-spaces

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