Local field
Local field In mathematics, a local field is a special type of field ... some inconsistency in usage, but usually a local field is further assumed to be locally ... of complex numbers are considered to be local as well by virtue of their local compactness. We insist on local compactness ...
http://en.wikipedia.org/wiki/Local_field - 6k - Cached - Similar pages

List of mathematics articles (L)
... Square -- Löb's paradox -- Löb's theorem -- Local analysis -- Local boundedness -- Local classfield theory -- Local coefficients -- Local cohomology -- Local compactness -- Local diffeomorphism -- Local ...
http://en.wikipedia.org/wiki/List_of_mathematics_articles_(L) - 36k - Cached - Similar pages

List of mathematics articles (J-L)
... Square -- Löb's paradox -- Löb's theorem -- Local analysis -- Local boundedness -- Local classfield theory -- Local coefficients -- Local cohomology -- Local compactness -- Local diffeomorphism -- Local ...
http://en.wikipedia.org/wiki/List_of_mathematics_articles_(J-L) - 48k - Cached - Similar pages

Shape of the Universe
... geometry of the Universe which includes both local geometry and global geometry. It is loosely ... can be split into two parts; the local geometry relates to the observable universe, while ... including that which we can't measure. Local geometry The local geometry is the geometry describing the observable ... represented by the Friedmann equations, provides a local geometry of the universe based on ...
http://en.wikipedia.org/wiki/Shape_of_the_Universe - 19k - Cached - Similar pages

Topology glossary
... countable if every point has a countable local base. Fréchet. See T 1 . Frontier. See ... every open cover has a countable subcover. Local base. A set B of neighbourhoods of ... x of a space X is a local base (or local basis, neighbourhood base, neighbourhood basis) at x ... of x contains some member of B. Local basis. See Local base. Locally closed ...
http://en.wikipedia.org/wiki/Topology_glossary - 59k - Cached - Similar pages

Talk:Manifold
... example, we speak of an atlas of local charts. In the remainder of this article ... example, we speak of an atlas of local charts. In the remainder of this article ... is essential to the construction. Benefits include local convenience and global consistency, balancing flexibility with ... example, we speak of an atlas of local charts. Flat drawings are two-dimensional, as ... important than mentioning, say, the Hausdorff property, compactness, separability, etc... The section on Charts, ...
http://en.wikipedia.org/wiki/Talk:Manifold - 236k - Cached - Similar pages

Space locally compact   (translated from French)
... thanks to compactification of Alexandrov. Synopsis Motivations compactness is a very fertile source of results ... fact that these two typical results of compactness adapt partially in the case of noncompact ... is precisely due to the concept of local compactness. Spaces locally compact Definitions A topological space ... examples that the reciprocal one is false; local compactness is thus a concept strictly ...
http://fr.wikipedia.org/wiki/Espace_localement_compact - 11k - Cached (French) - Wikipedia (French) - Similar pages

Locally compact space
... locally compact iff every point has a local base of compact neighborhoods, i.e. if ... used in Wikipedia. The various definitions of local compactness all coincide for Hausdorff spaces. Almost all ... Heine-Borel theorem. Topological manifolds share the local properties of Euclidean spaces and are therefore ... X). Locally compact groups The notion of local compactness is important in the study ...
http://en.wikipedia.org/wiki/Locally_compact_space - 16k - Cached - Similar pages

Topology glossary   (translated from German)
... from a topological area X is a local basis up x, if each environment of ... cuts only finally many of the subsets. Local basis: See environment basis Cover: A system ... points are separate, with consideration of their Compactness, their entire size and their connection. Separation ... Normal T 1 Areas are always Tychonoffsch. Compactness Parakompakt: An area is parakompakt, if each ... locally compactly, if each point has a local basis consisting of compact environments. Locally ...
http://de.wikipedia.org/wiki/Topologie-Glossar - 19k - Cached (German) - Wikipedia (German) - Similar pages

Compact space
... long been recognized that a property like compactness is necessary to prove a lot of ... compact spaces. It is often said that "compactness is the next best thing to finiteness ... compact spaces follow such a pattern. Definitions Compactness of subsets of R n For any ... depending on the properties of the space. Compactness of topological spaces The "finite subcover" property ... a metric or an ambient space. Thus, compactness is a topological property. In a ...
http://en.wikipedia.org/wiki/Compact_space - 18k - Cached - Similar pages