Category:Topological Order Theory
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This category contains results about Topological Order Theory.
Definitions specific to this category can be found in Definitions/Topological Order Theory.
Topological order theory is the branch of relation theory and topology which studies orderings and topological spaces.
Pages in category "Topological Order Theory"
The following 34 pages are in this category, out of 34 total.
C
- Closed Set iff Lower and Closed under Directed Suprema in Scott Topological Ordered Set
- Closed Subset is Upper Section in Lower Topology
- Closure of Singleton is Lower Closure of Element in Scott Topological Lattice
- Complement of Lower Closure is Prime Element in Inclusion Ordered Set of Scott Sigma
- Complement of Lower Closure of Element is Open in Scott Topological Ordered Set
- Complement of Upper Closure of Element is Open in Lower Topology
- Continuous iff Directed Suprema Preserving
- Continuous iff Mapping at Element is Supremum
- Continuous iff Mapping at Element is Supremum of Compact Elements
- Continuous iff Mapping at Limit Inferior Precedes Limit Inferior of Composition of Mapping and Sequence
- Continuous iff Way Below iff There Exists Element that Way Below and Way Below
- Continuous implies Increasing in Scott Topological Lattices
I
L
M
- Mapping is Continuous implies Mapping Preserves Filtered Infima in Lower Topological Lattice
- Mapping Preserves Directed Suprema implies Mapping is Continuous
- Mapping Preserves Infima implies Mapping is Continuous in Lower Topological Lattice
- Mapping Preserves Non-Empty Infima implies Mapping is Continuous in Lower Topological Lattice