Examples
- A topological space X is coherent with every open cover of X.
- A topological space X is coherent with every locally finite closed cover of X.
- A discrete space is coherent with every family of subspaces (including the empty family).
- A topological space X is coherent with a partition of X if and only X is homeomorphic to the disjoint union of the elements of the partition.
- Finitely generated spaces are those determined by the family of all finite subspaces.
- Compactly generated spaces are those determined by the family of all compact subspaces.
- A CW complex X is coherent with its family of n-skeletons Xn.
Read more about this topic: Coherent Topology
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