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How to get $\mathbb{R}^2$ from this?

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#general-topology #analysis
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Is f continuous at $ x = \pm 2 $ and everywhere else it isn't continuous?

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#general-topology #continuity
2.5k
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Interior, exterior, and boundary points of $\{(x, y) : x^{2} + y^{2} = 1\}$

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#real-analysis #general-topology
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Determining if subspace is completely metrizable, connected and contractible.

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#general-topology
968
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Union of closed sets with empty interior

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#general-topology #metric-spaces
124
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Discrete metric space and continuity.

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#real-analysis #general-topology #proof-verification #continuity #metric-spaces
245
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If $n>m$, then the spheres $S^n$ and $S^m$ are not homeomorphic?

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#general-topology #algebraic-topology #differential-topology
432
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Map from circle to real projective plane

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#general-topology #quotient-spaces
46
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Closed subsets of rational functions when the coefficients are endowed an Euclidean topology

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#general-topology #rational-functions
41
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What are convergent sequences in a given metric space?

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#general-topology #metric-spaces
343
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Zariski closure of the set of maximal ideals

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#general-topology #algebraic-geometry #commutative-algebra #maximal-and-prime-ideals #zariski-topology
36
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Regarding subspace topology

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#general-topology
1.7k
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Prove that quotient space is Hausdorff

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#general-topology #quotient-spaces
856
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Can I say that if a set is open then it does not contain its limit points?

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#real-analysis #general-topology
52
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Is the subset of $\mathbb C^n$ that is conjugate invarivant and permutation invariant simply connected in the quotient space?

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#general-topology #connectedness

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