Simply connected domain
Summary
A simply connected domain is a path-connected set in which each closed loop can be shrunk continuously to a point without leaving the set. Informally, the set is in one piece and has no hole that a loop can go around. On such domains, curl-free vector fields are conservative.
What this node needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
The writing levels say how complete the text of a node is. They do not measure its truth.
Sources
- Web https://en.wikipedia.org/wiki/Simply_connected_space, lead section
What links here
Definitions
- Simply connected domain 075C629XTH