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Proving every metrizable space is normal space

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#general-topology #proof-verification #metric-spaces #proof-writing
66
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Delone sets in $\mathbb{R}$ are bi-Lipschitz equivalent

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#general-topology #analysis #metric-spaces #lipschitz-functions
30
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A product of intervals where the indexing set is all bounded sequences; Generalizing the limit of a sequence so that it is always defined.

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#general-topology #product-space
117
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Proof that some Grassmannians are homeomorphic

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#general-topology
249
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Space is both $T_1$-space and normal space is Hausdorff space

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#general-topology #metric-spaces #proof-writing
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A perfect nowhere dense set which intersects every open set with positive measure?

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#general-topology #measure-theory #lebesgue-measure #descriptive-set-theory #cantor-set
56
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If $S,U\subset \mathbb R^n,\,$ with $U$ open, then $S+U$ is open.

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#real-analysis #general-topology #proof-verification
291
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Intuition to understanding why homotopic attaching maps of n-cell yield homotopy equivalent space

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#general-topology #algebraic-topology
38
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Non consistent example of topology

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#general-topology
1.2k
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Is every Borel subset of a measurable set measurable?

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#general-topology #measure-theory #lebesgue-measure #descriptive-set-theory #borel-sets
416
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Stiefel manifold is a manifold

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#general-topology #manifolds #stiefel-manifolds
552
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$V = \{(x,y)\in \Bbb R^2 : x>0, y>0, xy<1 \}$ is open.

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#calculus #general-topology
39
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Show the $\mathcal{P}(A)$ for $A \subset X$ is a closed set for tychonoff topology on $\mathcal{P}(X)$

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#general-topology
69
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How to prove this lemma?

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#real-analysis #general-topology
93
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Are matrices diagonalizable dense in a specific parametrization of $M_5(\mathbb R)$?

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#linear-algebra #general-topology

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