first Betti number

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• Betti number — In algebraic topology, the Betti number of a topological space is, in intuitive terms, a way of counting the maximum number of cuts that can be made without dividing the space into two pieces. This defines, in fact, what is called the first Betti …   Wikipedia

• Enrico Betti — Infobox Scientist name = PAGENAME box width = image size =150px caption = PAGENAME birth date = 21 October 1823 birth place = Pistoia, Tuscany death date = 11 August 1892 death place = residence = citizenship = nationality = Italy ethnicity =… …   Wikipedia

• Casson invariant — In 3 dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer valued invariant of oriented integral homology 3 spheres, introduced by Andrew Casson.Kevin Walker (1992) found an extension to… …   Wikipedia

• Cyclomatic complexity — (or conditional complexity) is a software metric (measurement). It was developed by Thomas J. McCabe, Sr. in 1976 and is used to indicate the complexity of a program. It directly measures the number of linearly independent paths through a program …   Wikipedia

• Surface of class VII — In mathematics, surfaces of class VII are non algebraic complex surfaces studied by (Kodaira 1964, 1968) that have Kodaira dimension −∞ and first Betti number 1. Minimal surfaces of class VII (those with no rational curves with self… …   Wikipedia

• Étale cohomology — In mathematics, the étale cohomology groups of an algebraic variety or scheme are algebraic analogues of the usual cohomology groups with finite coefficients of a topological space, introduced by Grothendieck in order to prove the Weil… …   Wikipedia

• Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… …   Wikipedia

• List of algebraic surfaces — This is a list of named (classes of) algebraic surfaces and complex surfaces. The notation κ stands for the Kodaira dimension, which divides surfaces into four coarse classes.Algebraic and complex surfaces * abelian surfaces (κ = 0) Two… …   Wikipedia

• Цикломатическая сложность — программы (англ. Cyclomatic complexity of a program)  структурная (или топологическая) мера сложности программ, используемая для измерения качества программного обеспечения, основанная на методах статического анализа кода. ЦСП равна… …   Википедия

• Rank (graph theory) — In graph theory, a branch of mathematics, the rank of an undirected graph is defined as the number n − c, where n is the number of vertices and c is the number of connected components of the graph. Equivalently, the rank of a graph is the rank of …   Wikipedia

• Symplectomorphism — In mathematics, a symplectomorphism is an isomorphism in the category of symplectic manifolds. Formal definitionSpecifically, let ( M 1, omega;1) and ( M 2, omega;2) be symplectic manifolds. A map : f : M 1 rarr; M 2 is a symplectomorphism if it… …   Wikipedia