- totally bounded
- totaalisti rajoitettu (äärelliset eps-peitteet)

*English-Finnish mathematical dictionary.
2011.*

- totally bounded
- totaalisti rajoitettu (äärelliset eps-peitteet)

*English-Finnish mathematical dictionary.
2011.*

**Totally bounded space**— In topology and related branches of mathematics, a totally bounded space is a space that can be covered by finitely many subsets of any fixed size (where the meaning of size depends on the given context). The smaller the size fixed, the more… … Wikipedia**Bounded set**— In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from … Wikipedia**Bounded set (topological vector space)**— In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. Conversely a set which is not… … 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**Compact space**— Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… … Wikipedia**Glossary of topology**— This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… … Wikipedia**Heine–Borel theorem**— In the topology of metric spaces the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states:For a subset S of Euclidean space R n , the following two statements are equivalent: * S is closed and bounded *every open cover of S has a … Wikipedia**Uniform property**— In the mathematical field of topology a uniform property or uniform invariant is a property of a uniform space which is invariant under uniform isomorphisms.Since uniform spaces come are topological spaces and uniform isomorphisms are… … Wikipedia**Uniform continuity**— In mathematical analysis, a function f ( x ) is called uniformly continuous if, roughly speaking, small changes in the input x effect small changes in the output f ( x ) ( continuity ), and furthermore the size of the changes in f ( x ) depends… … Wikipedia**Discrete space**— In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points are isolated from each other in a certain sense. Contents 1 Definitions 2 Properties 3 Uses … Wikipedia**Complete metric space**— Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… … Wikipedia