topological space | Topological quantum field theory | topological quantum field theory | Topological insulator |
In 1956, he also found the topological obstruction to the existence of a spin structure on an orientable Riemannian manifold.
Malchiodi has developed topological and analytical methods allowing to deal with a number of questions in geometric analysis, such as the Yamabe problem, the scalar curvature problem, problems coming from fourth order
Countably generated space, a topological space in which the topology is determined by its countable subsets
See 7₄ knot for decorations or symbols in other cultures which are topologically equivalent to the interlaced form of the simplest version of the Buddhist endless knot.
In spatial analysis the topological spatial relations are derived from the DE-9IM model, as spatial predicates about relations between points, lines, and/or areas: Equals, Contains, Covers, CoveredBy, Crosses, Disjoint, Intersects, Overlaps, Touches and Within.
Homotopy lifting property, in algebraic topology, a technical condition on a continuous function from a topological space E to another one, B designed to support the picture of E "above" B
Ambient isotopy (or h-isotopy), two subsets of a fixed topological space are ambient isotopic if there is a homeomorphism, isotopic to the identity map of the ambient space, which carries one subset to the other
From 1803 until 1805 these two men worked together on a topological survey of the Canton of Bern.
In descriptive set theory and general topology, Luzin space or Luzin set, a hypothetical uncountable topological T1 space without isolated points in which every nowhere-dense subset is at most countable
Many topological and geometric properties of the classical 2-torus have algebraic analogues for the noncommutative tori, and as such they are fundamental examples of a noncommutative space in the sense of Alain Connes.
His past research activities have explored: topological Quantum Field Theories in any dimension, BF theories, Cohomology of imbedded loops, Higher dimensional knots; Links, knots and quantum groups; Differential geometrical aspects of string and field theories, Virasoro and Krichever-Novikov algebras; Anomalies in Quantum field theory and their differential geometrical interpretation; and Foundational aspects of Quantum Mechanics.
Piecewise linear manifold, a topological space formed by gluing together flat spaces
At the Mauch Chunk-Bear Mountain Gap east of Jim Thorpe, the range ends rapidly descending to the Lehigh River Valley below the northeastern summit marked on USGS topological maps as Mt. Pisgah, which is named for the biblical mountain in Jordan from which Moses first saw the promised land (as are many Mountains around the world and especially in the United States).
In the work of Lenhard Ng, relative SFT is used to obtain invariants of smooth knots: a knot or link inside a topological three-manifold gives rise to a Legendrian torus inside a contact five-manifold, consisisting of the unit conormal bundle to the knot inside the unit cotangent bundle of the ambient three-manifold.
In 1886 Victor Schlegel introduced this tool for studying combinatorial and topological properties of polytopes.
A T1 process is a topological rearrangement process of the first kind for four discrete objects such as bubbles, drops, cells, etc.
The original proposal for topological quantum computation is due to Alexei Kitaev in 1997.
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In 2005, Sankar Das Sarma, Michael Freedman, and Chetan Nayak proposed a quantum Hall device which would realize a topological qubit.
Three model-theoretic directions for universal logic have been explored to some depth: abstract model theory axiomatized by Jon Barwise, a topological / categorical approach based on sketches (sometimes called categorical model theory), and yet another categorical approach based on Goguen and Burstall's notion of institution.