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reducible manifold

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  • Holonomy — Parallel transport on a sphere depends on the path. Transporting from A → N → B → A yields a vector different from the initial vector. This failure to return to the initial vector is measured by the holonomy of the connection. In differential… …   Wikipedia

  • Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …   Wikipedia

  • Cycle double cover — Unsolved problems in mathematics Does every bridgeless graph have a multiset of cycles covering every edge exactly twice? …   Wikipedia

  • Seiberg–Witten invariant — In mathematics, Seiberg–Witten invariants are invariants of compact smooth 4 manifolds introduced by harvtxt|Witten|1994, using the Seiberg Witten theory studied by harvs|txt=yes|last=Seiberg|last2=Witten|year1=1994a|year2=1994b during their… …   Wikipedia

  • Nielsen-Thurston classification — In mathematics, Thurston s classification theorem characterizes homeomorphisms of a compact surface. William Thurston s theorem completes the work initiated by Jakob Nielsen in the 1930s.Given a homeomorphism f : S rarr; S , there is a map g… …   Wikipedia

  • Hodge structure — In mathematics, a Hodge structure, named after W. V. D. Hodge, is an algebraic structure at the level of linear algebra, similar to the one that Hodge theory gives to the cohomology groups of a smooth and compact Kähler manifold. A mixed Hodge… …   Wikipedia

  • nature, philosophy of — Introduction       the discipline that investigates substantive issues regarding the actual features of nature as a reality. The discussion here is divided into two parts: the philosophy of physics and the philosophy of biology.       In this… …   Universalium

  • Charity and Charities — • In its widest and highest sense, charity includes love of God as well as love of man Catholic Encyclopedia. Kevin Knight. 2006. Charity and Charities     Charity and Charities …   Catholic encyclopedia

  • Nielsen–Thurston classification — In mathematics, Thurston s classification theorem characterizes homeomorphisms of a compact surface. William Thurston s theorem completes the work initiated by Jakob Nielsen (1944). Given a homeomorphism f : S → S, there… …   Wikipedia

  • List of mathematical symbols — This is a listing of common symbols found within all branches of mathematics. Each symbol is listed in both HTML, which depends on appropriate fonts being installed, and in TeX, as an image. This list is incomplete; you can help by expanding it.… …   Wikipedia

  • Einstein–Cartan theory — in theoretical physics extends general relativity to correctly handle spin angular momentum. As the master theory of classical physics general relativity has one known flaw: it cannot describe spin orbit coupling , i.e., exchange of intrinsic… …   Wikipedia

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