Math Problems Vault
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Topology & geometry
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Point-set topology
Connectedness (general topological spaces)
[
71
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80%
]
Subtopics
Homeomorphism invariants and non-homeomorphic spaces
[
17
/
100%
]
Components and local (path) connectedness
[
10
/
100%
]
Connected sets: clopen criterion, unions and closures
[
9
/
100%
]
Connected components of invertibles, unitaries and isometries
[
8
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0%
]
Complements of arcs and closed curves in the plane
[
7
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100%
]
Topologist's sine curve and connectedness of explicit sets
[
6
/
83%
]
Connectedness of topological groups and topological vector spaces
[
4
/
25%
]
Continua (compact connected sets)
[
4
/
50%
]
Connected subsets of the line and the intermediate value theorem
[
3
/
100%
]
Path-connected sets and path components
[
3
/
100%
]
Connectedness via connected fibers of a quotient map
[
1
/
100%
]
Property S (covering by small connected sets)
[
1
/
100%
]