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15
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A Local Connectedness Condition for Compact, Connected Metric Spaces

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#general-topology #metric-spaces #compactness #connectedness #continuum-theory
337
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Conditions Weaker than Locally Euclidean

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#general-topology #algebraic-topology #manifolds #geometric-topology #continuum-theory
116
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Local Bases in Locally Connected and Semi-Locally Connected Spaces

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#general-topology #metric-spaces #compactness #connectedness #continuum-theory
263
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Non-metric topological continua

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#general-topology #metric-spaces #continuum-theory
750
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Prob. 6, Sec. 24, in Munkres' TOPOLOGY, 2nd ed: For a well-ordered set $X$, $X\times[0,1)$ in the dictionary order is a linear continuum

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#general-topology #elementary-set-theory #proof-verification #order-theory #continuum-theory
1k
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Equivalence of Path-Connectedness and Arc-Connectedness for Hausdorff Spaces

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#general-topology #metric-spaces #connectedness #cantor-set #continuum-theory
164
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Continuum cannot be written as Countable Union of Disjoint Closed Subsets

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#general-topology #compactness #connectedness #separation-axioms #continuum-theory
97
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Density and continuua for sets without linear orders

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#general-topology #continuity #metric-spaces #order-theory #continuum-theory
40
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Every decomposable continuum contains a 2-od.

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#general-topology #connectedness #continuum-theory
80
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Can there be maximal proper subcontinua?

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#general-topology #compactness #connectedness #continuum-theory
94
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Consequence of Hahn - Mazurkiewicz theorem

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#general-topology #metric-spaces #isometry #cantor-set #continuum-theory
99
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Sierpinski Triangle as Finite Union of Dendrites

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#general-topology #trees #plane-geometry #fractals #continuum-theory
221
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Any proof (in English) that Generalised Peano Continua are continuous images of the real line?

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#general-topology #continuum-theory
55
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Question about $3$-Sphere Characterization

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#algebraic-topology #manifolds #geometric-topology #low-dimensional-topology #continuum-theory
38
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Local connection of closure of open connected subspaces in some metric spaces.

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#general-topology #continuum-theory

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