Sanakirja
Tekoälykääntäjä
| Kieli | Käännökset |
|---|---|
| ruotsi | sammanhängande rum |
Määritelmät
Substantiivi
- (mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.
Taivutusmuodot
| Monikko | connected spaces |
Luokat
(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.
From top to bottom: red space A, pink space B, yellow space C and orange space D are all connected spaces, whereas green space E (made of subsets E1, E2, E3, and E4) is disconnected. Furthermore, A and B are also simply connected (genus 0), while C and D are not: C has genus 1 and D has genus 4.
(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.
This subspace of R² is path-connected, because a path can be drawn between any two points in the space.
(mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces.
Two connected sets whose difference is not connected