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)
“The finite is annihilated in the presence of the infinite, and becomes a pure nothing. So our spirit before God, so our justice before divine justice.”
—Blaise Pascal (1623–1662)