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'flimsy' spaces: removing any $n$ points results in disconnectedness

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#general-topology #connectedness
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Question about bijective continuous mappings

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#general-topology #continuity #compactness
132
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Zariski sets dense in irreducible component of a Zariski closed set

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#general-topology #zariski-topology
100
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Lens space $L(p,q)$

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#general-topology #algebraic-topology
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Pointwise limit of continuous functions is continuous on a dense set

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#general-topology #continuity #proof-explanation #pointwise-convergence
56
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Two simple questions in topology - help:

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#general-topology #compactness #connectedness
101
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Does the distance map send closed sets to closed sets?

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#general-topology #metric-spaces #closed-map
156
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Is there an ovaloid that is not topologically equivalent to a sphere?

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#general-topology #algebraic-topology #surfaces
138
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Functions agrees on a set agrees on the closure.

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#general-topology
426
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Is a cofinite topological space a sequential space?

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#general-topology
72
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$\Bbb{RP}^n$: Saturated Open Set

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#general-topology #differential-geometry
798
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Part of Let $X$ be a simply ordered set with the least upper bound property with respect to the order topology. Then each closed interval is compact.

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#general-topology
136
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Clarification in the proof of Maximum Modulus Theorem

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#general-topology #complex-analysis
364
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Uniqueness of Brouwer fixed point theorem

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#general-topology #algebraic-topology
52
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The Continuity of Reciprocation Map and Multiplication Map under Lower Limit Topology

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#general-topology #continuity

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