Topological Spaces: Including a Treatment of Multi-valued Functions, Vector Spaces, and ConvexityCourier Corporation, 1 janv. 1997 - 270 pages Excellent study of sets in topological spaces and topological vector spaces includes systematic development of the properties of multi-valued functions. Topics include families of sets, topological spaces, mappings of one set into another, ordered sets, more. Examples included from different domains. 1963 edition. |
Table des matières
Chapter | 1 |
MAPPINGS OF ONE SET INTO ANOTHER | 20 |
ORDERED SETS | 28 |
Ordered sets | 43 |
VI | 109 |
VII | 129 |
VIII | 158 |
Chapter Page | 231 |
Autres éditions - Tout afficher
Topological Spaces: Including a Treatment of Multi-valued Functions, Vector ... Claude Berge Affichage du livre entier - 1877 |
Topological Spaces: Including a Treatment of Multi-valued Functions, Vector ... Claude Berge Affichage d'extraits - 1963 |
Expressions et termes fréquents
a₁ a₂ axiom bistochastic matrix called cardinal number Chapter closed set closure operation cluster point compact convex set compact set compact space concave continuous mapping converges convex function convex set COROLLARY denoted denumerable disjoint element EXAMPLE exists a neighbourhood exists a number exists a point F₁ family of sets filter base filtered family finite number follows function ƒ G₁ G₂ Hence implies integer interior point intersection K₁ LEMMA limit point linear mapping linear variety lower semi-continuous metric space neighbourhood U(x norm numerical function defined open covering open neighbourhood open set open set G P₁ plane Proof properties prove regularly convex S-convex satisfies sequence single-valued mapping strictly positive number sub-family subset Suppose Theorem topological space u.s.c. mapping vector space vector subspace whence write xo e Lim