About: Fréchet–Urysohn space

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Fréchet–Urysohn space Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FFréchet%E2%80%93Urysohn_space

In the field of topology, a Fréchet–Urysohn space is a topological space with the property that for every subset the closure of in is identical to the sequential closure of in Fréchet–Urysohn spaces are a special type of sequential space. The space is named after Maurice Fréchet and Pavel Urysohn.

Attributes	Values
rdf:type	Thing
rdfs:label	Fréchet–Urysohn space (en) Przestrzeń Frécheta (topologia) (pl)
rdfs:comment	Przestrzeń Frécheta (także przestrzeń Frécheta-Uryshona) – w topologii ogólnej, przestrzeń topologiczna o tej własności, że dla każdego podzbioru punkt należy do domknięcia zbioru wtedy i tylko wtedy, gdy jest granicą ciągu elementów zbioru tj. istnieje taki ciąg że . (pl) In the field of topology, a Fréchet–Urysohn space is a topological space with the property that for every subset the closure of in is identical to the sequential closure of in Fréchet–Urysohn spaces are a special type of sequential space. The space is named after Maurice Fréchet and Pavel Urysohn. (en)
rdfs:seeAlso	Sequential space
dcterms:subject	Properties of topological spaces General topology
Wikipage page ID	28480560 (xsd:integer)
Wikipage revision ID	1096786017 (xsd:integer)
Link from a Wikipage to another Wikipage	Schwartz space Metrizable space Montel space Topological embedding Topology (mathematics) Barrelled space DF-space Complement (set theory) Complete topological vector space Normal space Nuclear space Second-countable space Class (set theory) Closure (topology) Properties of topological spaces Fréchet space Locally convex topological vector space Smooth function Comparison of topologies Arc (topology) Axiomatic foundations of topological spaces Topological vector space Topology (structure) Hausdorff space Euclidean norm False positive Normable space Paracompact space General topology Distribution (mathematics) Final topology Ultrabornological space Metrizable topological vector space Reflexive space Sequence Sequential space Euclidean topology Pavel Urysohn First-countable space Selection principle Topological space Strong dual space Fréchet-Urysohn space Pseudometrizable space Maurice Fréchet Path (mathematics) Cofinal set Space of finite real sequences Space of sequences
Link from a Wikipage to an external page	https://arxiv.org/abs/math/0412558 http://projecteuclid.org/euclid.mmj/1028999711 http://projecteuclid.org/euclid.pjm/1102779712 http://matwbn.icm.edu.pl/ksiazki/fm/fm57/fm5717.pdf http://matwbn.icm.edu.pl/ksiazki/fm/fm61/fm6115.pdf
sameAs	Fréchet–Urysohn space Fréchet–Urysohn space Fréchet–Urysohn space
dbp:wikiPageUsesTemplate	dbt:Annotated_link dbt:Em dbt:More_footnotes dbt:Multiple_issues dbt:Reflist dbt:See_also dbt:Sfn dbt:Technical dbt:Isbn dbt:Trèves_François_Topological_vector_spaces,_distributions_and_kernels
has abstract	In the field of topology, a Fréchet–Urysohn space is a topological space with the property that for every subset the closure of in is identical to the sequential closure of in Fréchet–Urysohn spaces are a special type of sequential space. Fréchet–Urysohn spaces are the most general class of spaces for which sequences suffice to determine all topological properties of subsets of the space. That is, Fréchet–Urysohn spaces are exactly those spaces for which knowledge of which sequences converge to which limits (and which sequences do not) suffices to completely determine the space's topology. Every Fréchet–Urysohn space is a sequential space but not conversely. The space is named after Maurice Fréchet and Pavel Urysohn. (en) Przestrzeń Frécheta (także przestrzeń Frécheta-Uryshona) – w topologii ogólnej, przestrzeń topologiczna o tej własności, że dla każdego podzbioru punkt należy do domknięcia zbioru wtedy i tylko wtedy, gdy jest granicą ciągu elementów zbioru tj. istnieje taki ciąg że . (pl)
prov:wasDerivedFrom	wikipedia-en:Fréchet–Urysohn_space?oldid=1096786017&ns=0
page length (characters) of wiki page	20344 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fréchet–Urysohn_space
is Link from a Wikipage to another Wikipage of	René Maurice Fréchet DF-space LB-space Γ-space Fréchet space Banach space Filters in topology List of Russian mathematicians List of Russian scientists Accumulation point Final topology Metrizable topological vector space Net (mathematics) Sequence covering map Sequence space Sequential space Pavel Urysohn First-countable space

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (62 GB total memory, 42 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software