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Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and computational complexity theory. A primary concern of algorithmic topology, as its name suggests, is to develop efficient algorithms for solving problems that arise naturally in fields such as computational geometry, graphics, robotics, structural biology and chemistry, using methods from computable topology.

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rdfs:label	Computational topology (en) 計算論的トポロジー (ja) Вычислительная топология (ru)
rdfs:comment	Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and computational complexity theory. A primary concern of algorithmic topology, as its name suggests, is to develop efficient algorithms for solving problems that arise naturally in fields such as computational geometry, graphics, robotics, structural biology and chemistry, using methods from computable topology. (en) 計算論的トポロジー（けいさんろんてきトポロジー、英: algorithmic topology、英: computational topology、計算トポロジー等とも）は、（数学の幾何学における）トポロジーに関連する問題について、アルゴリズムや計算量等の計算機科学的側面を研究する分野で、純粋数学から計算幾何学やグラフィックス、ロボット工学、構造生物学や化学等、幅広い分野から生じる問題を対象とする。 (ja) Вычислительная топология или алгоритмическая топология — дисциплина, находящаяся на пересечении топологии, вычислительной геометрии и теории вычислительной сложности. Её основными задачами являются создание эффективных алгоритмов для решения топологических проблем и применение топологических методов для решения алгоритмических проблем, возникающих в других областях науки. (ru)
dcterms:subject	Computational topology Computational fields of study Applied mathematics Computational science Computational complexity theory
Wikipage page ID	1248833 (xsd:integer)
Wikipage revision ID	1109726597 (xsd:integer)
Link from a Wikipage to another Wikipage	Robotics NP (complexity) Algorithm Homotopy groups of spheres Dehn twist Geometric modeling Persistent homology Connected sum Structural biology Systems of polynomial equations Computational topology Computable topology Computational complexity theory Computational geometry Computer science Fundamental group Topological data analysis Computational fields of study Topology Heegaard splitting SnapPea 3-sphere Alexander polynomial 3-manifold PSPACE Digital topology Graphics Postnikov system Applied mathematics Computational science Computational complexity theory Chemistry Surgery theory Homeomorphism JSJ decomposition Triangulation (topology) Word problem for groups Regina (program) Mapping class group CW complex Filtration (mathematics) Knot (mathematics) Smith normal form Experimental mathematics Spatial-temporal reasoning Normal surface Homology group
Link from a Wikipage to an external page	http://redhom.ii.uj.edu.pl/ http://chomp.rutgers.edu/ http://comptop.stanford.edu/ http://www.math.uiuc.edu/~nmd/computop/ http://www.sas.upenn.edu/~vnanda/perseus/index.html https://CRAN.R-project.org/package=TDAstats http://www.linalg.org https://books.google.com/books%3Fid=AShKtpi3GecC https://books.google.com/books%3Fid=MDXa6gFRZuIC https://books.google.com/books%3Fid=oKEGGMgnWKcC https://web.archive.org/web/20131102213643/http:/www.math.rutgers.edu/~vidit/perseus.html http://code.google.com/p/javaplex/ http://code.google.com/p/phat http://www.msri.org/calendar/workshops/WorkshopInfo/381/show_workshop/
sameAs	Computational topology Computational topology Computational topology Computational topology Computational topology Computational topology Computational topology
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:ISBN
has abstract	Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular, computational geometry and computational complexity theory. A primary concern of algorithmic topology, as its name suggests, is to develop efficient algorithms for solving problems that arise naturally in fields such as computational geometry, graphics, robotics, structural biology and chemistry, using methods from computable topology. (en) 計算論的トポロジー（けいさんろんてきトポロジー、英: algorithmic topology、英: computational topology、計算トポロジー等とも）は、（数学の幾何学における）トポロジーに関連する問題について、アルゴリズムや計算量等の計算機科学的側面を研究する分野で、純粋数学から計算幾何学やグラフィックス、ロボット工学、構造生物学や化学等、幅広い分野から生じる問題を対象とする。 (ja) Вычислительная топология или алгоритмическая топология — дисциплина, находящаяся на пересечении топологии, вычислительной геометрии и теории вычислительной сложности. Её основными задачами являются создание эффективных алгоритмов для решения топологических проблем и применение топологических методов для решения алгоритмических проблем, возникающих в других областях науки. (ru)
gold:hypernym	Subfield
prov:wasDerivedFrom	wikipedia-en:Computational_topology?oldid=1109726597&ns=0
page length (characters) of wiki page	11582 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Computational_topology
is Link from a Wikipage to another Wikipage of	List of books in computational geometry List of numerical computational geometry topics Geometric and Topological Inference Geometric design Geometric modeling Persistent homology Yusu Wang Collapse (topology) French Institute for Research in Computer Science and Automation

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