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Convergence Foundations of Topology by Dolecki, Szymon; Mynard, Frédéric is a nonfiction available to read on EtoBox.

What is Convergence Foundations of Topology about?

Machine Generated Contents Note: I. Introduction -- 1. Preliminaries And Conventions -- 2. Premetrics And Balls -- 3. Sequences -- 4. Cofiniteness -- 5. Quences -- 6. Almost Inclusion -- 7. When Premetrics And Sequences Do Not Suffice -- 7.1. Pointwise Convergence -- 7.2. Riemann Integrals -- Ii. Families Of Sets -- 1. Isotone Families Of Sets -- 2. Filters -- 2.1. Order -- 2.2. Free And Principal Filters -- 2.3. Sequential Filters -- 2.4. Images, Preimages, Products -- 3. Grills -- 4. Duality Between Filters And Grills -- 5. Triad: Filters, Filter-grills And Ideals -- 6. Ultrafilters -- 7. Cardinality Of The Set Of Ultrafilters -- 8. Remarks On Sequential Filters -- 8.1. Countably Based And Frechet Filters -- 8.2. Infima And Products Of Filters -- 9. Contours And Extensions -- Iii. Convergences -- 1. Definitions And First Examples -- 2. Preconvergences On Finite Sets -- 2.1. Preconvergences On Two-point Sets -- 2.2. Preconvergences On Three-point Sets -- 3. Induced (pre)convergence -- 4. Premetrizable Convergences -- 5. Adherence And Cover -- 6. Lattice Of Convergences -- 7. Finitely Deep Modification -- 8. Pointwise Properties Of Convergence Spaces -- 9. Convergences On A Complet

Who reads Convergence Foundations of Topology?

Author

Dolecki, Szymon; Mynard, Frédéric

Publisher

World Scientific Publishing Co Pte Ltd; WSPC; Wspc

Published

2016

Language

EN

ISBN

9789814571517

Category

nonfiction

Subjects

Mathematics, Stem

Updated

2026-03-24