About: Lexicographic order topology on the unit square

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In general topology, the lexicographic ordering on the unit square (sometimes the dictionary order on the unit square) is a topology on the unit square S, i.e. on the set of points (x,y) in the plane such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1.

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rdfs:label	Lexicographic order topology on the unit square (en) Лексикографічний порядок на одиничному квадраті (uk)
rdfs:comment	In general topology, the lexicographic ordering on the unit square (sometimes the dictionary order on the unit square) is a topology on the unit square S, i.e. on the set of points (x,y) in the plane such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. (en) В загальній топології лексикографічний порядок на одиничному квадраті — це на одиничному квадраті X=[0,1]2 на площині відносно лексикографічного порядку. (uk)
dct:subject	Topological spaces General topology
Wikipage page ID	29044559 (xsd:integer)
Wikipage revision ID	1116873394 (xsd:integer)
Link from a Wikipage to another Wikipage	Metrizable space Homeomorphic Compact space General topology Order topology Separable space Completeness (order theory) Fundamental group Pairwise disjoint Plane (geometry) Topological spaces Hausdorff space General topology Long line (topology) Unit square Compact metric space List of topologies First-countable space Real line Lexicographical order Topological space Uncountable Completely normal space
sameAs	Lexicographic order topology on the unit square Lexicographic order topology on the unit square Lexicographic order topology on the unit square Lexicographic order topology on the unit square Lexicographic order topology on the unit square
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Reflist dbt:Sfnp
has abstract	In general topology, the lexicographic ordering on the unit square (sometimes the dictionary order on the unit square) is a topology on the unit square S, i.e. on the set of points (x,y) in the plane such that 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. (en) В загальній топології лексикографічний порядок на одиничному квадраті — це на одиничному квадраті X=[0,1]2 на площині відносно лексикографічного порядку. (uk)
gold:hypernym	Topology
prov:wasDerivedFrom	wikipedia-en:Lexicographic_order_topology_on_the_unit_square?oldid=1116873394&ns=0
page length (characters) of wiki page	2544 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Lexicographic_order_topology_on_the_unit_square
is Link from a Wikipage to another Wikipage of	Split interval Lexicographic order Gδ space Locally connected space Counterexamples in Topology Long line (topology) List of topologies Ordered square Lexicographic ordering on the unit square
is Wikipage redirect of	Ordered square Lexicographic ordering on the unit square
is foaf:primaryTopic of	wikipedia-en:Lexicographic_order_topology_on_the_unit_square

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