This HTML5 document contains 45 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
yago-reshttp://yago-knowledge.org/resource/
dbohttp://dbpedia.org/ontology/
n18http://ta.dbpedia.org/resource/
foafhttp://xmlns.com/foaf/0.1/
n4https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
dbchttp://dbpedia.org/resource/Category:
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Path_ordering_(term_rewriting)
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
Subject Item
dbr:Continuous_function
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
Subject Item
dbr:Continuous_function_(set_theory)
rdf:type
yago:Number113582013 yago:OrdinalNumber113597280 yago:Abstraction100002137 yago:WikicatOrdinalNumbers yago:Measure100033615 yago:DefiniteQuantity113576101
rdfs:label
Continuous function (set theory)
rdfs:comment
In set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limits (limit suprema and limit infima) of all values at previous stages. More formally, let γ be an ordinal, and be a γ-sequence of ordinals. Then s is continuous if at every limit ordinal β < γ, and Alternatively, if s is an increasing function then s is continuous if s: γ → range(s) is a continuous function when the sets are each equipped with the order topology. These continuous functions are often used in cofinalities and cardinal numbers.
dcterms:subject
dbc:Set_theory dbc:Ordinal_numbers
dbo:wikiPageID
12089705
dbo:wikiPageRevisionID
939147378
dbo:wikiPageWikiLink
dbr:Limit_superior_and_limit_inferior dbr:Set_theory dbr:Continuous_(topology) dbr:Order_topology dbr:Cardinal_numbers dbc:Ordinal_numbers dbc:Set_theory dbr:Cofinality dbr:Ordinal_number dbr:Monotonic_function dbr:Thomas_Jech dbr:Normal_function
owl:sameAs
n4:4iJrn yago-res:Continuous_function_(set_theory) wikidata:Q5165476 freebase:m.02vph4r n18:தொடர்ச்சியான_சார்பு_(_கண_கோட்பாடு)
dbp:wikiPageUsesTemplate
dbt:Mathlogic-stub dbt:ISBN
dbo:abstract
In set theory, a continuous function is a sequence of ordinals such that the values assumed at limit stages are the limits (limit suprema and limit infima) of all values at previous stages. More formally, let γ be an ordinal, and be a γ-sequence of ordinals. Then s is continuous if at every limit ordinal β < γ, and Alternatively, if s is an increasing function then s is continuous if s: γ → range(s) is a continuous function when the sets are each equipped with the order topology. These continuous functions are often used in cofinalities and cardinal numbers. A normal function is a function that is both continuous and increasing.
prov:wasDerivedFrom
wikipedia-en:Continuous_function_(set_theory)?oldid=939147378&ns=0
dbo:wikiPageLength
1365
foaf:isPrimaryTopicOf
wikipedia-en:Continuous_function_(set_theory)
Subject Item
dbr:Continuity_(set_theory)
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
dbo:wikiPageRedirects
dbr:Continuous_function_(set_theory)
Subject Item
dbr:Rational_choice_theory
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
Subject Item
dbr:Topological_skeleton
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
Subject Item
dbr:Social_complexity
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
Subject Item
dbr:Veblen_function
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
Subject Item
dbr:Normal_sequence
dbo:wikiPageWikiLink
dbr:Continuous_function_(set_theory)
Subject Item
wikipedia-en:Continuous_function_(set_theory)
foaf:primaryTopic
dbr:Continuous_function_(set_theory)