Dror Bar-Natan: Classes: 2001-02: Algebraic Topology: | screen version print version |
An embedding of an interval in R3 whose complement is not simply connected:
See Hocking and
Young's Topology pp. 176-177.
See http://www.math.ohio-state.edu/~fiedorow/math655/Jordan.html.
Antoine's necklace - an embedding of a Cantor set in R3 whose complement is not simply connected:
See http://www.cs.ubc.ca/nest/imager/contributions/scharein/various/AntoinesNecklace.html.
The Alexander horned sphere - a continuous embedding of a ball in R3 whose complement is not simply connected:
![]() |
![]() |
![]() |
![]() |