Handbook of Analysis and Its Foundations

ISBN: 9780126227604 出版年：1996 页码：907 Schechter, Eric Academic Press_RW

Sets and orderings: sets functions relations and orderings more about sups and infs sets of sets - filters topologies constructivism and choice nets and convergences. Algebra: elementary algebraic systems concrete categories the real numbers linearity convexity boolean algebras logic and intangibles. Topology and uniformity: toplogical spaces separation and regularity axioms compactness uniform spaces metric and uniform completeness Baire theory positive measure and integration. Topological vector spaces: norms normed operators generalized Riemann integrals Frechet derivatives metrization of groups and vector spaces barrels and other features of TVSs duality and weak compactness vector measures initial value problems.