About: Almost open map

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In functional analysis and related areas of mathematics, an almost open map between topological spaces is a map that satisfies a condition similar to, but weaker than, the condition of being an open map. As described below, for certain broad categories of topological vector spaces, all surjective linear operators are necessarily almost open.

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rdfs:label	Almost open map (en)
rdfs:comment	In functional analysis and related areas of mathematics, an almost open map between topological spaces is a map that satisfies a condition similar to, but weaker than, the condition of being an open map. As described below, for certain broad categories of topological vector spaces, all surjective linear operators are necessarily almost open. (en)
dcterms:subject	Topological vector spaces
Wikipage page ID	65738568 (xsd:integer)
Wikipage revision ID	1116513111 (xsd:integer)
Link from a Wikipage to another Wikipage	Barrelled space Topological vector spaces Mathematics Meager set Alexander Arhangelskii Function (mathematics) Locally convex topological vector space Functional analysis Topological spaces Topological vector space Topological vector spaces Fiber (mathematics) Baire space Surjective Metrizable topological vector space Open map Neighborhood (topology) Surjective map dbr:Almost_continuous
sameAs	Almost open map Almost open map
dbp:wikiPageUsesTemplate	dbt:Anchor dbt:Annotated_link dbt:Em dbt:More_footnotes dbt:Reflist dbt:Sfn dbt:Short_description dbt:Visible_anchor dbt:BoundednessAndBornology dbt:Bourbaki_Topological_Vector_Spaces_Part_1_Chapters_1–5 dbt:Functional_Analysis dbt:Husain_Khaleelulla_Barrelledness_in_Topological_and_Ordered_Vector_Spaces dbt:Jarchow_Locally_Convex_Spaces dbt:Khaleelulla_Counterexamples_in_Topological_Vector_Spaces dbt:Köthe_Topological_Vector_Spaces_I dbt:Narici_Beckenstein_Topological_Vector_Spaces dbt:Robertson_Topological_Vector_Spaces dbt:Schaefer_Wolff_Topological_Vector_Spaces dbt:TopologicalVectorSpaces dbt:Trèves_François_Topological_vector_spaces,_distributions_and_kernels dbt:Wilansky_Modern_Methods_in_Topological_Vector_Spaces
has abstract	In functional analysis and related areas of mathematics, an almost open map between topological spaces is a map that satisfies a condition similar to, but weaker than, the condition of being an open map. As described below, for certain broad categories of topological vector spaces, all surjective linear operators are necessarily almost open. (en)
prov:wasDerivedFrom	wikipedia-en:Almost_open_map?oldid=1116513111&ns=0
page length (characters) of wiki page	7399 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Almost_open_map
is rdfs:seeAlso of	Open set
is Link from a Wikipage to another Wikipage of	Barrelled space Almost open Almost open linear map F-space Nearly open linear map Open and closed maps Open mapping theorem (functional analysis) Sequence covering map
is Wikipage redirect of	Almost open linear map Nearly open linear map
is Wikipage disambiguates of	Almost open
is foaf:primaryTopic of	wikipedia-en:Almost_open_map

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