- Handle (mathematics)
In

topology , a branch ofmathematics , a**handle**is just a topological ball; it is called a handle because of the context in which it is discussed, of which there are two:handle decomposition s and handlebodies.A

**handle**is asubset of amanifold which is one of the components of ahandle decomposition of the manifold,A

**handle**is asubset of ahandlebody with the topology of a ball, which may be cut along a 2-disk so as to reduce the genus of the handlebody; a handlebody of genus "n" will have "n" handles.**ee also***

Casson handle

*Wikimedia Foundation.
2010.*

### Look at other dictionaries:

**Handle**— may be:* Handle (grip), a grip attached to an object for using or moving the object * Handle (mathematics), a topological ball * Handle (computing), a particular kind of smart pointer Handle may also be:* Handle System, a system for uniquely… … Wikipedia**Handle decomposition**— In mathematics, a handle decomposition of an n manifold M is a representation of that manifold as an exhaustion:M 0 subset M 1 subset dots subset Mwhere each M i is obtained from M {i 1}by attaching a n i handle. Handle decompositions are never… … Wikipedia**Mathematics and Physical Sciences**— ▪ 2003 Introduction Mathematics Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity. Computer scientist Manindra Agrawal of the… … Universalium**mathematics**— /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… … Universalium**List of mathematics articles (H)**— NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… … Wikipedia**Casson handle**— In 4 dimensional topology, a branch of mathematics, a Casson handle is a 4 dimensional topological 2 handle constructed by an infinite procedure. They are named for Andrew Casson, who introduced them in about 1973. They were originally called… … Wikipedia**Series (mathematics)**— A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } … Wikipedia**List of important publications in mathematics**— One of the oldest surviving fragments of Euclid s Elements, found at Oxyrhynchus and dated to circa AD 100. The diagram accompanies Book II, Proposition 5.[1] This is a list of important publications in mathematics, organized by field. Some… … Wikipedia**List of mathematics articles (C)**— NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… … Wikipedia**List of scientific journals in mathematics**— This is a list of mathematical journals, which are scientific journals presently published in the field of mathematics.* Abstract Analysis [http://www.aanalysis.net/ (web)] * Acta Mathematica Academiae Paedagogicae Nyíregyháziensis… … Wikipedia