Category:Either-Or Topology
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This category contains results about Either-Or Topology.
Let $S = \closedint {-1} 1$ be the closed interval on the real number line from $-1$ to $1$.
Let $\tau = \set {U \in \powerset S: \paren {\set 0 \nsubseteq U} \lor \paren {\openint {-1} 1 \subseteq U} }$ where:
- $\powerset S$ is the power set of $S$
- $\lor$ is the inclusive-or logical connective.
Then $\tau$ is the either-or topology, and $T = \struct {S, \tau}$ is the either-or space
Subcategories
This category has the following 2 subcategories, out of 2 total.
E
Pages in category "Either-Or Topology"
The following 19 pages are in this category, out of 19 total.
E
- Either-Or Topology is Compact
- Either-Or Topology is First-Countable
- Either-Or Topology is Lindelöf
- Either-Or Topology is Locally Connected
- Either-Or Topology is Locally Path-Connected
- Either-Or Topology is Non-Meager
- Either-Or Topology is not Locally Arc-Connected
- Either-Or Topology is not Separable
- Either-Or Topology is not T1
- Either-Or Topology is not T3
- Either-Or Topology is Scattered
- Either-Or Topology is T0
- Either-Or Topology is T4
- Either-Or Topology is T5
- Either-Or Topology is Topology