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Topology: Determine whether a subset is a retract of R^2

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#general-topology #retraction
807
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The relation between $M$ is orientable and the normal bundle of $M$ in $\mathbb{R}^n$ is trivial?

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#general-topology #differential-geometry #algebraic-topology #fiber-bundles
753
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Convex vs strict convex sets

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#general-topology
918
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When a local diffeomorphism is a diffeomorphism

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#general-topology #differential-topology #vector-analysis
46
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Let $X$ be a compact hausdroff toplogical space and $Y$ be topological space such that $f:X \rightarrow Y$ is bijective and continuos

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#general-topology
189
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Countably many isolated points implies that any disjoint union of open sets is countable.

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#general-topology
103
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Closed subspace of vector space

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#general-topology #proof-verification #convergence-divergence #vector-spaces #normed-spaces
76
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What is the name of the following Corollary and theorem?

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#general-topology #reference-request
85
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How many units squares can fit on $\mathbb R^2$?

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#general-topology #elementary-set-theory #cardinals
50
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what is the relation between $\tau _1$ and $\tau _2$?

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#general-topology #analysis
2.2k
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Is $[0,1]\cup [2,3]$ connected?

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#general-topology #connectedness
262
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Rotation number of composition

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#general-topology #dynamical-systems
129
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Is there a way to describe these compactifications algebraically?

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#general-topology #functional-analysis #c-star-algebras #compactification
139
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Do non-equivalent metrics induce the same uniformity?

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#general-topology #functional-analysis
648
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For any countable ordinal $\alpha$, there is some closed set of reals whose Cantor-Bendixson rank is $\alpha$

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#general-topology #set-theory #ordinals #descriptive-set-theory

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