Locally Finite

The term locally finite has a number of different meanings in mathematics:

  • Locally finite collection of sets in a topological space
  • Locally finite group
  • Locally finite measure
  • Locally finite poset
  • Locally finite variety in the sense of universal algebra
  • Locally finite operator in linear algebra

Famous quotes containing the words locally and/or finite:

    To see ourselves as others see us can be eye-opening. To see others as sharing a nature with ourselves is the merest decency. But it is from the far more difficult achievement of seeing ourselves amongst others, as a local example of the forms human life has locally taken, a case among cases, a world among worlds, that the largeness of mind, without which objectivity is self- congratulation and tolerance a sham, comes.
    Clifford Geertz (b. 1926)

    Sisters define their rivalry in terms of competition for the gold cup of parental love. It is never perceived as a cup which runneth over, rather a finite vessel from which the more one sister drinks, the less is left for the others.
    Elizabeth Fishel (20th century)