Totally bounded space
Totally bounded space In topology and related branches of mathematics, a totally bounded space, or precompact space, is a space ... many subsets. A related notion is a totally bounded set, or precompact set, in ...
http://en.wikipedia.org/wiki/Totally_bounded_space - 13k - Cached - Similar pages

Bounded set
Bounded set In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense ... size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded above if there is a real number ... an upper bound of S. The terms bounded below and lower bound are similarly ...
http://en.wikipedia.org/wiki/Bounded_set - 3k - Cached - Similar pages

Bounded set (topological vector space)
Bounded set (topological vector space) In functional analysis ... in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector ... set. Conversely a set which is not bounded is called unbounded. Bounded sets are a natural way to ...
http://en.wikipedia.org/wiki/Bounded_set_(topological_vector_space) - 4k - Cached - Similar pages

Talk:Communism/Archive6
... council members, than is consistent with the bounded rationality of the species. If this wording ... I think a problem is the phrase bounded rationality, which comes from a generally antipathetic ... submit that few people have heard of "bounded rationality" and even fewer would agree that ... As I said, this actually isn't totally a Marxian theory, even GE CEO Jack ... BTW your view of capitalism is clearly totally biased, but you are right in ...
http://en.wikipedia.org/wiki/Talk:Communism/Archive6 - 1254k - Cached - Similar pages

Talk:Boundedness
Talk:Boundedness Moved from Bounded to Boundedness so that the page title ... 98% of articles would indeed link to bounded rather than boundedness, and the boundedness noun ... noun that describes the property shared by bounded functions. You can find examples among the ... another (almost) example is on the page Totally bounded space, where I naturally wrote (with ...
http://en.wikipedia.org/wiki/Talk:Boundedness - 16k - Cached - Similar pages

Metric space
... metric space, then the set of all bounded functions f : X → M (i.e. those functions whose image is a bounded subset of M) can be turned into ... d(f(x), g(x)) for any bounded functions f and g. If M is ... metric space, then the set of all bounded continuous functions from X to M forms ... d(f(x), g(x)) for any bounded continuous functions f and g. If ...
http://en.wikipedia.org/wiki/Metric_space - 23k - Cached - Similar pages

Topology glossary
... closure with the closure of its complement. Bounded. A set in a metric space is bounded if it has finite diameter. Equivalently, a set is bounded if it is contained in some open ... taking values in a metric space is bounded if its image is a bounded set. C Category of topological spaces. ...
http://en.wikipedia.org/wiki/Topology_glossary - 59k - Cached - Similar pages

Talk:Metric space/Archive1
... subset of a metric space to be bounded if it is subset of a ball ... then define the whole space to be bounded if it is bounded as a subset of itself. (Boundedness of ... changing property 3. -- Markus, Oct 1, 2003. Totally bounded "The space M is called totally ...
http://en.wikipedia.org/wiki/Talk:Metric_space/Archive1 - 17k - Cached - Similar pages

Total order
... total order on it is called a totally ordered set, a linearly ordered set, a ... is total. Alternatively, one may define a totally ordered set as a particular kind of ... are members of a set that is totally ordered by ≤ then we can define ... be shown to be a total order. Totally ordered sets form a full subcategory of ... f(b). A bijective map between two totally ordered sets that respects the two ...
http://en.wikipedia.org/wiki/Total_order - 13k - Cached - Similar pages

Compact space
... called compact if it is closed and bounded. For example, in R, the closed unit ... integers Z is not (it is not bounded) and neither is the half-open interval ... affirms that this coincides with "closed and bounded" for subsets of Euclidean space. Note: Some ... the set. The set is closed and bounded. This is the condition that is easiest ... is more abstract than the "closed and bounded" one, but it has the distinct ...
http://en.wikipedia.org/wiki/Compact_space - 18k - Cached - Similar pages