GERM

Germ

In mathematics, the notion of a germ of an object in/on a topological space captures the local properties of the object. In particular, the objects in question are mostly functions and subsets. In specific implementations of this idea, the sets or maps in question will have some property, such as being analytic or smooth, but in general this is not needed ; it is however necessary that the space on/in which the object is defined is a topological space, in order that the word local have some sense.

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germ

Noun

  1. The small mass of cells from which a new organism develops; a seed, bud or spore.
  2. A pathogenic microorganism.
  3. The origin of an idea or project.
    the germ of civil liberty
  4. The embryo of a seed, especially of a seed used as a cereal or grain. See .

Verb

  1. To germinate
  2. to grow, as if parasitic


The above text is a snippet from Wiktionary: germ
and as such is available under the Creative Commons Attribution/Share-Alike License.

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