Punctured Knaster-Kuratowski fan or Cantor's Teepee
Knaster-Kuratowski fan with the apex removed. Specifically: For any , let be the line segment from to . Let be the middle-thirds Cantor set in the unit interval, the endpoints of the removed intervals and . Define and . This space is with the subspace topology.
Defined as counterexample #129 ("Cantor's Teepee") in DOI 10.1007/978-1-4612-6290-9.
Id | Properties | Value | Source |
---|---|---|---|
16 | Compact | ||
27 | Second Countable | ||
47 | Totally Disconnected | ||
48 | Totally Separated | ||
53 | Metrizable | ||
65 | Cardinality | ||
139 | Has an isolated point |