Explore: Germs (mathematics)

the same germ at x is an equivalence relation (be it on maps or sets), and the equivalence classes are called germs (map-germs, or set-germs accordingly)

properties Germs (band), an American punk rock band Germ (musician), a stage name of Tim Wright Germ (rapper), an American rapper "Germs" (song), by

group H 1 ( Θ ) {\displaystyle H^{1}(\Theta )\,} where Θ is (the sheaf of germs of sections of) the holomorphic tangent bundle. There is an obstruction

get a germ of s {\displaystyle s} at x {\displaystyle x} , denoted [ s ] x {\displaystyle [s]_{x}} or s x {\displaystyle s_{x}} . These germs determine

This shows that the germs at p form an algebra. Define I p {\displaystyle {\mathcal {I}}_{p}} to be the set of all smooth germs vanishing at p and I

geometry. It analyses the germs of the catastrophe geometries. Categorical logic a branch of category theory adjacent to the mathematical logic. It is based

terms of germs. Formally, a tangent vector at the point x {\displaystyle x} is a linear derivation of the algebra defined by the set of germs at x {\displaystyle

In mathematics, and particularly singularity theory, the Milnor number, named after John Milnor, is an invariant of a function germ. If f is a complex-valued

"germs of real-valued continuous functions at 0". These germs can be added and multiplied and form a commutative ring. To see that this ring of germs is

In mathematics, the stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point. Sheaves are defined on open