About: Arithmetic topology

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Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. It establishes an analogy between number fields and closed, orientable 3-manifolds.

Attributes	Values
rdf:type	place
rdfs:label	Arithmetic topology (en) 数論トポロジー (ja) Aritmetisk topologi (sv) 算术拓扑 (zh)
rdfs:comment	Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. It establishes an analogy between number fields and closed, orientable 3-manifolds. (en) 数論トポロジー (arithmetic topology) とは、代数的整数論と位相幾何学を組み合わせた数学の分野である。数論トポロジーは数体と向き付け可能なの間の類似を確立する。 (ja) Aritmetisk topologi är ett delområde av matematiken som kombinerar algebraisk talteori och topologi. (sv) 算术拓扑（arithmetic topology）是结合了代数数论与拓扑学的数学领域。它在代数数域和封闭可定向的三维流形之间建立起类比。 (zh)
dcterms:subject	3-manifolds Number theory Knot theory
Wikipage page ID	23834912 (xsd:integer)
Wikipage revision ID	1045234958 (xsd:integer)
Link from a Wikipage to another Wikipage	Prime ideal Barry Mazur David Mumford John Tate (mathematician) 3-manifolds Mathematics Arithmetic geometry Yuri Manin Étale cohomology Ideal (ring theory) Topology Galois cohomology Langlands program Link (knot theory) 3-sphere Algebraic number theory 3-manifold Number theory Curtis T. McMullen Number field Legendre symbol Knot theory Jean-Louis Verdier Prime number Arithmetic dynamics Class field theory Knot (mathematics) Michael Artin Rational number Topological quantum field theory Prime ideals dbr:Rédei_symbol
Link from a Wikipage to an external page	http://www.neverendingbooks.org/mazurs-dictionary http://pub.math.leidenuniv.nl/~lyczakjt/seminar/knots2016-files/knots_and_primes.pdf https://arxiv.org/abs/0904.3399v1 https://arxiv.org/abs/math/0107210v2 https://arxiv.org/abs/math/0204274v1 https://www.springer.com/mathematics/numbers/book/978-1-4471-2157-2 http://www.math.harvard.edu/~ctm/home/text/papers/fermat/fermat.pdf
sameAs	Arithmetic topology Arithmetic topology Arithmetic topology Arithmetic topology Arithmetic topology Arithmetic topology
dbp:wikiPageUsesTemplate	dbt:ISBN dbt:Number_theory-footer
has abstract	Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. It establishes an analogy between number fields and closed, orientable 3-manifolds. (en) 数論トポロジー (arithmetic topology) とは、代数的整数論と位相幾何学を組み合わせた数学の分野である。数論トポロジーは数体と向き付け可能なの間の類似を確立する。 (ja) Aritmetisk topologi är ett delområde av matematiken som kombinerar algebraisk talteori och topologi. (sv) 算术拓扑（arithmetic topology）是结合了代数数论与拓扑学的数学领域。它在代数数域和封闭可定向的三维流形之间建立起类比。 (zh)
gold:hypernym	Area
prov:wasDerivedFrom	wikipedia-en:Arithmetic_topology?oldid=1045234958&ns=0
page length (characters) of wiki page	4971 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Arithmetic_topology
is Link from a Wikipage to another Wikipage of	Barry Mazur Borromean rings Analytic torsion Christopher Deninger Glossary of areas of mathematics Glossary of arithmetic and diophantine geometry Yuri Manin Arithmetic dynamics Topological quantum field theory
is foaf:primaryTopic of	wikipedia-en:Arithmetic_topology

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