- Betti number
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A number associated to each topological space and each dimension, giving an approximate number of holes of that dimension in that space.
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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
Betti — is a surname, and may refer to* Betti number in topology, named for Enrico Betti * Betti s theorem in engineering theory, named for Enrico Betti * Betti reactionPeople with the surname Betti* Enrico Betti, Italian mathematician (1823 1892). *… … Wikipedia
Betti-Zahl — Im mathematischen Teilgebiet der Topologie sind die Bettizahlen (nach E. Betti) eine Folge nichtnegativer ganzer Zahlen, die globale Eigenschaften eines topologischen Raumes beschreiben. Sie sind topologische Invarianten. Inhaltsverzeichnis 1… … Deutsch 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
Laura Betti — (May 1, 1927 [Until her death, Laura Betti was widely believed to have been born on May 1, 1934. In fact, all her obituaries referred to the 1934 date. The actress herself had encouraged that erroneous belief.] July 31, 2004) was an Italian… … 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
Weil conjectures — In mathematics, the Weil conjectures, which had become theorems by 1974, were some highly influential proposals from the late 1940s by André Weil on the generating functions (known as local zeta functions) derived from counting the number of… … 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
homology — /heuh mol euh jee, hoh /, n., pl. homologies. 1. the state of being homologous; homologous relation or correspondence. 2. Biol. a. a fundamental similarity based on common descent. b. a structural similarity of two segments of one animal based on … Universalium
Enriques–Kodaira classification — In mathematics, the Enriques–Kodaira classification is a classification of compact complex surfaces into ten classes. For each of these classes, the surfaces in the class can be parametrized by a moduli space. For most of the classes the moduli… … Wikipedia
