# weakly

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**Weakly compact cardinal**— In mathematics, a weakly compact cardinal is a certain kind of cardinal number introduced by harvtxt|Erdös|Tarski|1961; weakly compact cardinals are large cardinals, meaning that their existence can neither be proven nor disproven from the… …12

**Weakly symmetric space**— In mathematics, a weakly symmetric space is a notion introduced by the Norwegian mathematician Atle Selberg in the 1950s as a generalisation of symmetric space, due to Élie Cartan. Geometrically the spaces are defined as complete Riemannian… …13

**Weakly hyper-Woodin cardinal**— In axiomatic set theory, weakly hyper Woodin cardinals are a kind of large cardinals. A cardinal κ is called weakly hyper Woodin if and only if for every set S there exists a normal measure U on κ such that the set {λ < κ | λ is …14

**Weakly contractible**— In mathematics, a topological space is said to be weakly contractible if all of its homotopy groups are trivial.PropertyIt follows from Whitehead s Theorem that if a CW complex is weakly contractible then it is contractible.ExampleDefine S^infty… …15

**Weakly measurable function**— See also= In mathematics mdash; specifically, in functional analysis mdash; a weakly measurable function taking values in a Banach space is a function whose composition with any element of the dual space is a measurable function in the usual… …16

**Weakly normal subgroup**— In mathematics, in the field of group theory, a subgroup H of a group G is said to be weakly normal if whenever H^g leq N G(H), we have g in N G(H). Every pronormal subgroup is weakly normal.References* | year=2003 | journal=Journal of the… …17

**Weakly NP-complete**— In computational complexity, an NP complete (or NP hard) problem is weakly NP complete (or weakly NP hard), if there is an algorithm for the problem whose running time is polynomial in the dimension of the problem and the magnitudes of the data… …18

**Weakly compact**— In mathematics, weakly compact can refer to*weakly compact cardinal *compact in the weak topology …19

**Weakly interacting massive particles**— In astrophysics, weakly interacting massive particles, or WIMPs, are hypothetical particles serving as one possible solution to the dark matter problem. These particles interact through the weak nuclear force and gravity, and possibly through… …20

**Weakly harmonic function**— In mathematics, a function f is weakly harmonic in a domain D if :int D f, Delta g = 0 for all g with compact support in D and continuous second derivatives, where Delta; is the Laplacian. This definition is weaker than the definition of harmonic …