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- Surgery_theory abstract "In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one manifold from another in a 'controlled' way, introduced by Milnor (1961). Surgery refers to cutting out parts of the manifold and replacing it with a part of another manifold, matching up along the cut or boundary. This is closely related to, but not identical with, handlebody decompositions. It is a major tool in the study and classification of manifolds of dimension greater than 3.More technically, the idea is to start with a well-understood manifold M and perform surgery on it to produce a manifold M ′ having some desired property, in such a way that the effects on the homology, homotopy groups, or other interesting invariants of the manifold are known.The classification of exotic spheres by Kervaire and Milnor (1963) led to the emergence of surgery theory as a major tool in high-dimensional topology.".
- Surgery_theory thumbnail Circle-surgery.svg?width=300.
- Surgery_theory wikiPageExternalLink 87.pdf.
- Surgery_theory wikiPageExternalLink 193.pdf.
- Surgery_theory wikiPageExternalLink www.map.mpim-bonn.mpg.de.
- Surgery_theory wikiPageExternalLink Category:Oberwolfach_Surgery_Seminar_2012.
- Surgery_theory wikiPageExternalLink Category:Regensburg_Surgery_Blockseminar_2012.
- Surgery_theory wikiPageExternalLink 287x.html.
- Surgery_theory wikiPageExternalLink ~shmuel.
- Surgery_theory wikiPageExternalLink ~aar.
- Surgery_theory wikiPageExternalLink index.htm.
- Surgery_theory wikiPageExternalLink scm.pdf.
- Surgery_theory wikiPageExternalLink wall1.pdf.
- Surgery_theory wikiPageExternalLink wall2.pdf.
- Surgery_theory wikiPageExternalLink fig3.png.
- Surgery_theory wikiPageExternalLink ats1.pdf.
- Surgery_theory wikiPageExternalLink ats2.pdf.
- Surgery_theory wikiPageExternalLink lurie2011.pdf.
- Surgery_theory wikiPageExternalLink surgerygroup.
- Surgery_theory wikiPageID "5961115".
- Surgery_theory wikiPageRevisionID "603880406".
- Surgery_theory author1Link "Michel Kervaire".
- Surgery_theory author2Link "John Milnor".
- Surgery_theory first "M.M.".
- Surgery_theory first "Yu.B.".
- Surgery_theory hasPhotoCollection Surgery_theory.
- Surgery_theory id "m/m065000".
- Surgery_theory last "Kervaire".
- Surgery_theory last "Milnor".
- Surgery_theory last "Postnikov".
- Surgery_theory last "Rudyak".
- Surgery_theory title "Morse surgery".
- Surgery_theory year "1963".
- Surgery_theory subject Category:Surgery_theory.
- Surgery_theory comment "In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one manifold from another in a 'controlled' way, introduced by Milnor (1961). Surgery refers to cutting out parts of the manifold and replacing it with a part of another manifold, matching up along the cut or boundary. This is closely related to, but not identical with, handlebody decompositions.".
- Surgery_theory label "Chirurgie (topologie)".
- Surgery_theory label "Surgery theory".
- Surgery_theory label "Перестройка Морса".
- Surgery_theory sameAs Chirurgie_(topologie).
- Surgery_theory sameAs m.0fgsbw.
- Surgery_theory sameAs Q2963975.
- Surgery_theory sameAs Q2963975.
- Surgery_theory wasDerivedFrom Surgery_theory?oldid=603880406.
- Surgery_theory depiction Circle-surgery.svg.
- Surgery_theory isPrimaryTopicOf Surgery_theory.