locally finite collection

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• Locally finite collection — In the mathematical field of topology, local finiteness is a property of collections of subsets of a topological space. It is fundamental in the study of paracompactness and topological dimension. A collection of subsets of a topological space X… …   Wikipedia

• Locally discrete collection — In mathematics, particularly topology, collections of subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections is worthwile as Bing s… …   Wikipedia

• Locally finite — 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 …   Wikipedia

• Point finite collection — In mathematics, a collection mathcal{U} of subsets of a topological space X is said to be point finite or a point finite collection if every point of X lies in only finitely many members of mathcal{U}. Compare this to the stronger property of… …   Wikipedia

• locally finite set — Math. a collection of sets in a topological space in which each point of the space has a neighborhood that intersects a finite number of sets of the collection. * * * …   Universalium

• locally finite set — Math. a collection of sets in a topological space in which each point of the space has a neighborhood that intersects a finite number of sets of the collection …   Useful english dictionary

• Locally convex topological vector space — In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) which generalize normed spaces. They can be defined as topological vector… …   Wikipedia

• Finite intersection property — In general topology, the finite intersection property is a property of a collection of subsets of a set X . A collection has this property if the intersection over any finite subcollection of the collection is nonempty.DefinitionLet X be a set… …   Wikipedia

• Residually finite group — In the mathematical field of group theory, a group G is residually finite or finitely approximable if for every nontrivial element g in G there is a homomorphism h from G to a finite group, such that :h(g) eq 1.,There are a number of equivalent… …   Wikipedia

• List of mathematics articles (L) — NOTOC L L (complexity) L BFGS L² cohomology L function L game L notation L system L theory L Analyse des Infiniment Petits pour l Intelligence des Lignes Courbes L Hôpital s rule L(R) La Géométrie Labeled graph Labelled enumeration theorem Lack… …   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