Word Explorer
Hyperconnected
(of a topological space) That is not the union of two proper closed sets; such that every open set is dense.
📖 Definitions of "Hyperconnected"
adjective
- 1
(of a topological space) That is not the union of two proper closed sets; such that every open set is dense.
- 2
(of a graph) Having an edge set that spans a matroid defined on its edges via exterior algebra.
- 3
Making intense use of telecommunications networks.
- 4
Connected by hyperlinks.
💡 Words with a Similar Meaning to "Hyperconnected"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| connectedverb | Having relationships; involved with others. |
| disconnected | That is no longer connected. |
| separable | Able to be separated. |
| dense-in-itself | (mathematics, of a subset of a topological space) Having no isolated points. |
| unicoherent | (mathematics) Of a topological space X: such that it is a connected space and, for any closed, connected A,B⊂X with X=A∪B, the intersection A∩B is connected. |
| totally disconnected | (mathematics) Such that each connected subspace is a singleton. |
| discrete | Separate; distinct; individual; non-continuous. |
| hausdorff | (of a topological space) Such that any two distinct points have disjoint neighborhoods. |
| arc-connected | (of a topological space) Such that every pair of points in the space comprises the boundary of some arc embedded in the space. |
| continuous | Without stopping; without a break, cessation, or interruption. |
| path-connected | (of a topological space) Such that every pair of points in the space comprises the boundary of some path mapped to the space continuously. |
| clopennoun | A pair of work shifts in which a worker works a closing shift one day and then works an opening shift the following day. |
| dense | Having relatively high density. |
| closed | Not available for operation, participation, interaction, etc. |
| aposyndetic | (topology) Having the property that for all points x distinct from a specified point p, there is a compact connected neighborhood of p that does not include x. |
| compactnoun | An agreement or contract. |
| normal | Usual, healthy; not sick or ill or unlike oneself. |
| locally compact | (topology) Of a topological space: such that, for every point of the space, there is a neighborhood of that point whose closure is compact. |
| 1-connected | (topology, of a topological space) Having a singleton as its fundamental group. |
| open | (usually not comparable) Physically unobstructed, uncovered, etc. |
🏷️ Nouns for "Hyperconnected"
Common nouns this word is used to describe.
📝 Common Phrases with "Hyperconnected"
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