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CW structure of the universal cover

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#general-topology #algebraic-topology #covering-spaces #cw-complexes
178
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Confusion between dual of continuous functions and borel functions

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#general-topology #functional-analysis #measure-theory #banach-spaces
91
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How many connected components does this subset of $GL_n(\mathbb R)$ have?

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#linear-algebra #general-topology #path-connected
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Show that the real projective line is homemorphic to the unit circle

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#general-topology
6k
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Are rational points dense on every circle in the coordinate plane?

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#general-topology #coordinate-systems #rational-numbers
200
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What is the reason for not requiring all topological space to be Hausdorff?

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#general-topology
174
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Show that $\overline{A} \subseteq \overset{\,\,\,\circ} A\cup \partial A$

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#real-analysis #general-topology #solution-verification #proof-explanation
221
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Connected subset of the circle path connected?

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#real-analysis #general-topology
529
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Why the radial topology on $ \mathbb R^2 $ is not second countable?

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#general-topology
508
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Prove that $U$ is an open set of a topological space $X$ iff for all $A\subset X$ we have $Cl(U\cap Cl(A))=Cl(U\cap A)$

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#general-topology
208
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First countable vs. second countable

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#general-topology
1k
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An open set in a CW complex

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#general-topology #algebraic-topology #cw-complexes
79
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Function invariant under composition w order automorphism

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#general-topology #order-theory
50
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A set is a manifold iff a subset of it is a manifold.(p.28 Guillemin & Pollack)

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#general-topology #differential-geometry #algebraic-topology #differential-topology #geometric-topology
4.1k
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How to introduce a CW structure on RP^n?

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#general-topology #algebraic-topology #geometric-topology #projective-space #cw-complexes

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