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15
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Decomposing a topological space into closed subspaces

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#general-topology #category-theory
65
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Is every open set a union of (any number of) sets that are homeomorphic to the entire space?

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#general-topology #metric-spaces
703
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Completion with respect to stronger norm is no subset?

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#general-topology #functional-analysis #metric-spaces #normed-spaces
51
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Product Topology/Continuity Confusion

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#general-topology #continuity
39
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Closure as a map

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#general-topology
37
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Example of infinite , compact, path connected metric space $X$ which is homeomorphic to $X \times X$?

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#general-topology #metric-spaces #compactness #path-connected
294
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Prove that Voronoi cells are path-connected

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#general-topology #geometry #functions #computational-geometry
63
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Subfunctor of a hom functor in a Boolean topos

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#general-topology #category-theory #boolean-algebra #sheaf-theory #topos-theory
82
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Why is unwinding a string not a continuous transformation?

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#general-topology
416
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Topologies of Matrix Groups & Algebras

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#linear-algebra #general-topology #matrices #algebraic-topology #lie-groups
278
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lower limit topology to the metric topology

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#general-topology
76
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Help Interpreting a Problem Concerning the Union of Connected Sets

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#general-topology #elementary-set-theory
49
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Is this space $T_1$ and satisfies property $P$?.

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#general-topology
51
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$X$ compact convex subset of $\mathbb{R^n}$. $f:X\to X,f(Fr(X))\subset Fr(X)$. $f|_{Fr(X)}$ is homotopic with identity on $Fr(X)$. Show that $f(X)=X$

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#general-topology #homotopy-theory
150
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Let $X$ be the space obtained from $\mathbb{R}^3$ by removing the axes $x,y$ and $z$. Calculate the fundamental group of $X$.

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#general-topology #algebraic-topology #homotopy-theory #fundamental-groups #path-connected

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