- first countable space
- N1-avaruus
English-Finnish mathematical dictionary. 2011.
English-Finnish mathematical dictionary. 2011.
First-countable space — In topology, a branch of mathematics, a first countable space is a topological space satisfying the first axiom of countability . Specifically, a space, X , is said to be first countable if each point has a countable neighbourhood basis (local… … Wikipedia
Second-countable space — In topology, a second countable space, also called a completely separable space, is a topological space satisfying the second axiom of countability. A space is said to be second countable if its topology has a countable base. More explicitly,… … Wikipedia
Space-filling curve — 3 iterations of a Peano curve construction, whose limit is a space filling curve. In mathematical analysis, a space filling curve is a curve whose range contains the entire 2 dimensional unit square (or more generally an N dimensional hypercube) … Wikipedia
Sequential space — In topology and related fields of mathematics, a sequential space is a topological space that satisfies a very weak axiom of countability. Sequential spaces are the most general class of spaces for which sequences suffice to determine the… … Wikipedia
Compactly generated space — In topology, a compactly generated space (or k space) is a topological space whose topology is coherent with the family of all compact subspaces. Specifically, a topological space X is compactly generated if it satisfies the following condition:… … Wikipedia
First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… … Wikipedia
space — [speɪs] noun 1. [uncountable] the area or amount of room in a newspaper, magazine etc that is used for a particular subject ˈadvertising ˌspace [uncountable] MARKETING somewhere that advertising is placed or shown: • He hopes to make money by… … Financial and business terms
space flight — noun : flight beyond the earth s atmosphere * * * space flight UK US noun [countable/uncountable] [singular space flight plural space flights] a journey into space Thesaurus … Useful english dictionary
Separable space — In mathematics a topological space is called separable if it contains a countable dense subset; that is, there exists a sequence { x n } {n=1}^{infty} of elements of the space such that every nonempty open subset of the space contains at least… … Wikipedia
Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… … Wikipedia
Paracompact space — In mathematics, a paracompact space is a topological space in which every open cover admits a locally finite open refinement. Paracompact spaces are sometimes also required to be Hausdorff. Paracompact spaces were introduced by Dieudonné (1944).… … Wikipedia