Topology
Explore spaces and continuity; global properties and constructions; separation and invariants. Concepts and connections are available independently of video coverage.
FOLLOW AN IDEA
Open and closed sets
Closed sets have open complements; a set can be both open and closed.
Explore concept graph · Explore connected videos
Different ways to understand it
No reviewed video yet. Explore the concept in a map or suggest a resource. Suggest a video
More concepts to explore
Topological continuity
A map is continuous when inverse images of open sets are open.
Topological spaces
A topology specifies open sets closed under arbitrary unions and finite intersections.
Connectedness
A connected space cannot be separated into two disjoint nonempty open pieces.
Fundamental group
Based loops modulo endpoint-fixed homotopy form a group under concatenation.
Hausdorff spaces
Distinct points admit disjoint neighborhoods in a Hausdorff space.
Knowledge connections
- Topological spaces · Related · Map context
- Topological continuity · Related · Map context