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Short proof verification using inheritance principle.

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#general-topology #proof-verification
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What does 'copy' mean in topology?

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#general-topology #algebraic-topology
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Let $B=\{[a,b)\subset\Bbb R\mid a,b\in\Bbb Q\text{ and }a<b\}$ Show that $B$ is basis for topology on $\Bbb R$

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#general-topology #proof-verification
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Are these spaces quotient spaces?

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#general-topology #quotient-spaces
367
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why it is called "extension of partial converse 2" GP1.4.4?

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#general-topology #differential-geometry #differential-topology #geometric-topology
172
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$\sigma$-space to complete space

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#general-topology #boolean-algebra
32
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Open sets in topological spaces

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#general-topology #continuity #metric-spaces
453
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The Euclidean metric satisfies triangle inequality in cross product of two metric spaces $X$ and $Y.$

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#real-analysis #general-topology #metric-spaces
34
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How to show there is a point in a set satisfying some distance function?

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#general-topology
51
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Intersections of open sets

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#general-topology
216
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Unions of up-directed families and intersections

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#general-topology #set-theory
65
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Extremally disconnected space and separating function

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#general-topology #proof-verification
54
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Proving a property of a distance function with compact and closed sets

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#general-topology #metric-spaces
46
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Let $X_1$ and $X_2$ be subspaces of $\mathbb{R}$ given by $X_1 = (0,1)\cup(3,4)$ and $X_2 = (0,1)\cup(1,2)$. Is $X_1 \cong X_2 $?

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#general-topology
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the line with two origins and the related equivalence relation

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#general-topology #differential-geometry #equivalence-relations

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