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Is a surjective continuous map with compact domain is open?

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#general-topology #continuity #compactness #examples-counterexamples #open-map
470
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The closed points of a scheme and irreducibility

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#general-topology #algebraic-geometry #schemes
228
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Equivalent conditions for $f$ to be a quotient map.

Published on
#general-topology #continuity #quotient-spaces
32
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Showing a series converges to a point in the usual topology

Published on
#sequences-and-series #general-topology
778
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Are these spaces homotopy equivalent?

Published on
#general-topology #algebraic-geometry
224
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(Soft) Why do our visual understandings of homotopy equivalence correspond to the definitions?

Published on
#general-topology #algebraic-topology #visualization
365
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On dense sets and isolated points

Published on
#general-topology
411
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Separating two points with open sets whose closure is also disjoint

Published on
#general-topology #metric-spaces
159
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Further Investigation of $\tau_1 \lor \tau_2$

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#general-topology
249
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Proving that a metric space of all real valued continuous functions is complete

Published on
#real-analysis #general-topology #intuition
484
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Why the interior of $U$ in $S$ contains $\mathrm{int\,}U\cap S$

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#general-topology
80
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Questions to test visualization in 4D

Published on
#general-topology #geometry #reference-request #big-list #visualization
1.2k
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Discrete subgroups of $(\mathbb{R},+)$

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#real-analysis #general-topology #group-theory #real-numbers
54
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Can we eliminate adjacent opposing pairs while classifying the surface in other than the second step?

Published on
#general-topology #algebraic-topology #surfaces
430
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Prove that $X=C([0,1],\mathbb{R})$ is Not complete

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#real-analysis #general-topology #metric-spaces

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