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Can the Interval be Covered by Disjoint Cantor Sets?

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#general-topology #real-numbers #descriptive-set-theory #cantor-set
147
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Find a finite union $U$ of open intervals

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#general-topology #measure-theory #lebesgue-measure
778
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Metric on the unit circle

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#general-topology #metric-spaces
57
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Are these implications regarding compactness correct?

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#general-topology #metric-spaces
79
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Have I shown correctly that the set M is compact with respect to the metric $d(x,y):=\min\{|y-x|,1-|y-x|\}$ for $x,y \in M$?

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#general-topology #metric-spaces #compactness
275
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Showing that the set of non- decreasing bounded functions is compact

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#general-topology #metric-spaces #compactness
145
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If $Y$ is a dense linear subspace of a normed space $X$, how to show $B_Y$ is dense in $B_X$.

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#general-topology #normed-spaces
344
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The etale locale of a sheaf?

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#general-topology #sheaf-theory #locales
88
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Set theory - Solution without using the Axiom of Choice.

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#general-topology #proof-verification #axiom-of-choice
39
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If $R$ is open equivalence then $Rx$ is closed?

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#general-topology
1.9k
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How to show if a sequence diverges to infinity then it has no limit point?

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#real-analysis #sequences-and-series #general-topology #limits #convergence-divergence
158
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Compactness already if every open cover of subbasis elements has a finite subcover?

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#general-topology #lattice-orders
356
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Must a positively oriented path be simple, closed and piecewise smooth?

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#general-topology #complex-analysis #multivariable-calculus #residue-calculus #cauchy-integral-formula
88
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Please, where can I find some good worked examples of compact spaces?

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#general-topology #metric-spaces #compactness
168
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What is the need of topology?

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#general-topology #soft-question

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