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searching for Orientability 33 found (79 total)

Octahemioctahedron (381 words) [view diff] no match in snippet view article find links to article

In geometry, the octahemioctahedron or allelotetratetrahedron is a nonconvex uniform polyhedron, indexed as U3. It has 12 faces (8 triangles and 4 hexagons)

Hemipolyhedron (855 words) [view diff] no match in snippet view article find links to article

In geometry, a hemipolyhedron is a uniform star polyhedron some of whose faces pass through its center. These "hemi" faces lie parallel to the faces of

Handle decompositions of 3-manifolds (227 words) [view diff] no match in snippet view article find links to article

In mathematics, a handle decomposition of a 3-manifold allows simplification of the original 3-manifold into pieces which are easier to study. An important

Orientation sheaf (258 words) [view diff] exact match in snippet view article find links to article

oriented, one can always integrate a density, regardless of orientation or orientability; there is the integration map: ∫ M : Γ c ( M , V M ) → R . {\displaystyle

Riemann surface (3,127 words) [view diff] no match in snippet view article find links to article

In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied

Fibration (3,457 words) [view diff] no match in snippet view article find links to article

The notion of a fibration generalizes the notion of a fiber bundle and plays an important role in algebraic topology, a branch of mathematics. Fibrations

Causal structure (3,430 words) [view diff] no match in snippet view article find links to article

In mathematical physics, the causal structure of a Lorentzian manifold describes the causal relationships between points in the manifold. In modern physics

Synge's theorem (650 words) [view diff] exact match in snippet view article find links to article

parallel and orthogonal vector field along this geodesic. However: Orientability implies that the parallel transport map along every loop has positive

Oriented matroid (3,970 words) [view diff] no match in snippet view article find links to article

An oriented matroid is a mathematical structure that abstracts the properties of directed graphs, vector arrangements over ordered fields, and hyperplane

Uniform 10-polytope (822 words) [view diff] exact match in snippet view article find links to article

discovery of the more sophisticated Betti numbers. Similarly, the notion of orientability of a polyhedron is insufficient to characterise the surface twistings

Handlebody (785 words) [view diff] exact match in snippet view article find links to article

imagine how to reverse this process to get a handlebody. (Sometimes the orientability hypothesis is dropped from this last definition, and one gets a more

Comparability graph (1,383 words) [view diff] exact match in snippet view article find links to article

(1992); Brandstädt, Le & Spinrad (1999), p. 91 and p. 112. Transitive orientability of interval graph complements was proven by Ghouila-Houri (1962); the

Vámos matroid (1,009 words) [view diff] exact match in snippet view article find links to article

4153/CMB-1974-066-5, MR 0373976. Bland, Robert G.; Las Vergnas, Michel (1978), "Orientability of matroids", Journal of Combinatorial Theory, Series B, 24 (1): 94–123

5-polytope (878 words) [view diff] exact match in snippet view article find links to article

discovery of the more sophisticated Betti numbers. Similarly, the notion of orientability of a polyhedron is insufficient to characterise the surface twistings

Michael J. Hopkins (1,012 words) [view diff] exact match in snippet view article find links to article

work of Hopkins on this topic includes papers on the question of the orientability of TMF with respect to string cobordism (joint work with Ando, Strickland

Yuli Rudyak (148 words) [view diff] exact match in snippet view article find links to article

topology and symplectic topology. Rudyak, Yu. (1998), On Thom spectra, orientability, and cobordism. With a foreword by Haynes Miller, Springer Monographs

Dieter Kotschick (667 words) [view diff] exact match in snippet view article find links to article

homeomorphisms) of these varieties. Kotschick proved that if the condition of orientability is removed, only multiples of the Euler characteristic can be considered

6-polytope (878 words) [view diff] exact match in snippet view article find links to article

discovery of the more sophisticated Betti numbers. Similarly, the notion of orientability of a polyhedron is insufficient to characterise the surface twistings

4-polytope (1,773 words) [view diff] exact match in snippet view article find links to article

discovery of the more sophisticated Betti numbers. Similarly, the notion of orientability of a polyhedron is insufficient to characterise the surface twistings

Word-representable graph (3,653 words) [view diff] exact match in snippet view article find links to article

semi-transitive orientability of triangle-free graphs, arXiv:2003.06204v1. S. Kitaev and A. Saito. On semi-transitive orientability of Kneser graphs

Wolfgang Smith (2,210 words) [view diff] exact match in snippet view article find links to article

OCLC 1761678. Zbl 0472.55015. Smith, J (1980). "Fiber homology and orientability of maps" (PDF). Pacific Journal of Mathematics. 89 (2): 453–470. doi:10

Parallel coordinates (1,656 words) [view diff] exact match in snippet view article find links to article

several smooth (hyper)surfaces, proximities, convexity and recently non-orientability. The goal is to map n-dimensional relations into 2D patterns. Hence

Uniform 9-polytope (894 words) [view diff] exact match in snippet view article find links to article

discovery of the more sophisticated Betti numbers. Similarly, the notion of orientability of a polyhedron is insufficient to characterise the surface twistings

Elon Lages Lima (610 words) [view diff] exact match in snippet view article find links to article

forms". Archiv der Mathematik vol. 20, pp. 173–175. Lima, E. L. (1987). "Orientability of smooth hypersurfaces and the Jordan-Brouwer separation theorem".

Retrieval Data Structure (1,514 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-70574-1. Walzer, Stefan (2021). "Peeling close to the orientability threshold – spatial coupling in hashing-based data structures". In Marx

Uniform 7-polytope (1,015 words) [view diff] exact match in snippet view article find links to article

discovery of the more sophisticated Betti numbers. Similarly, the notion of orientability of a polyhedron is insufficient to characterise the surface twistings

Penka Georgieva (229 words) [view diff] exact match in snippet view article find links to article

for doctoral study with Eleny Ionel, and defended her dissertation, Orientability of moduli spaces and open Gromov-Witten invariants, in 2011. She completed

Highly structured ring spectrum (2,290 words) [view diff] exact match in snippet view article find links to article

can define the space of units, which is crucial for some questions of orientability of bundles. Commutative ring spectrum En-ring Elmendorf, A.D.; Kriz

Eugenio Calabi (2,564 words) [view diff] exact match in snippet view article find links to article

corresponding group of isometries of de Sitter spacetime (under an orientability condition) will act faithfully by isometries on an equatorial sphere

Uniform 8-polytope (1,007 words) [view diff] exact match in snippet view article find links to article

discovery of the more sophisticated Betti numbers. Similarly, the notion of orientability of a polyhedron is insufficient to characterise the surface twistings

Laser diffraction analysis (2,350 words) [view diff] exact match in snippet view article find links to article

making it possible to measure the erythrocyte deformability and the orientability of the cells. In an ektacytometer erythrocyte deformability can be measured

Postnikov system (3,825 words) [view diff] exact match in snippet view article find links to article

Archived (PDF) from the original on 19 May 2017. On Thom Spectra, Orientability, and Cobordism. Springer Monographs in Mathematics. Berlin, Heidelberg:

Valuation (geometry) (6,004 words) [view diff] exact match in snippet view article

though the concept of smooth valuations in fact does not depend on orientability. The space of smooth valuations V ∞ ( X ) {\displaystyle {\mathcal {V}}^{\infty