General Topology and Its Relations to Modern Analysis and Algebra 2

General Topology and Its Relations to Modern Analysis and Algebra 2

Proceedings of the Second Prague Topological Symposium, 1966

1st Edition - January 1, 1967

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  • Editors: Z. Frolík, M. Katětov, V. Pták
  • eBook ISBN: 9781483223537

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General Topology and Its Relations to Modern Analysis and Algebra II is comprised of papers presented at the Second Symposium on General Topology and its Relations to Modern Analysis and Algebra, held in Prague in September 1966. The book contains expositions and lectures that discuss various subject matters in the field of General Topology. The topics considered include the algebraic structure for a topology; the projection spectrum and its limit space; some special methods of homeomorphism theory in infinite-dimensional topology; types of ultrafilters on countable sets; the compactness operator in general topology; and the algebraic generalization of the topological theorems of Bolzano and Weierstrass. This publication will be found useful by all specialists in the field of Topology and mathematicians interested in General Topology.

Table of Contents

  • Foreword

    From the Report of the Organizing Committee

    List of Foreign Participants

    List of Czechoslovak Participants

    List of Communications

    Scientific Communications

    Remarks on an Algebraic Structure for a Topology

    О размерности dm топологических пространств


    Some Special Methods of Homeomorphism Theory in Infinite-Dimensional Topology

    Point Countable Open Coverings in Countably Compact Spaces

    On Some Results Concerning k-Spaces

    Remarks on Product Spaces

    Paracompact Subsets

    Projective Covers in Certain Categories of Topological Spaces

    A Hereditarily Infinite Dimensional Space

    TWO Classes of Almost Periodic Functions on Topological T0-Groups

    Eine fixierte Kurve in E3

    Circumscribing Convex Sets

    Beziehungen zwischen gewissen Topologien in Noetherschen Ringen

    Borel Subsets of Metric Separable Spaces

    Differential Structures

    Locally Compact Realcompactifications

    Syntopogene Halbgruppen

    Abgeschwächte Trennungsaxiome

    Richtungsräume und Richtungsdimension

    Order Structures and Topological Structures

    Preclosed Multivalued Mappings

    On Urysohn's Lemma

    On Finite T0-Spaces

    Some New Concepts of Dimension and Their Generalization

    On Separation and Approximation of Real Functions Defined on a Choquet Simplex

    Extremal Disconnectedness and Dyadicity

    Quelques démonstrations nouvelles dans la théorie des ensembles boreliens

    Über die Realisierung von Boole-Algebren als Boole-Algebren regulär offener Mengen

    Baire Sets Which Are Borelian Subspaces

    Types of Ultrafilters on Countable Sets

    The Space βN and the Continuum Hypothesis

    Integration in topologischen Vektorräumen und lokal p-konvexen Algebren

    Über die Quotiententopologie als Spur der Potenz einer Topologie

    The Compactness Operator in General Topology

    О компактификации пространств близости

    Homogene Topologien in Polynomringen

    Concerning a Categorial Approach to Topological and Algebraic Theories

    Uniform Dimension of Mappings

    Gelfand-Naimark Theorems for Non-Commutative Topological Rings

    Categorial Methods in Topology

    Отношения смежности и Н-замкнутые расширения

    Algebras of Germs of Fourier Transforms

    Remarks on a Theorem of B. Pospisil

    Convergence Structures

    Topological Embeddings in Euclidean Space

    Charakterization of Fourier-Stieltjes Transforms of Vector-Valued Measures

    On Convergence Topologies

    Über ein Konvergenzprinzip bei Spektralzerlegungen

    On Discontinuous Selectors

    On Numerical and Non-Numerical Ecart

    Некоторые свойства когомологических размерностй компактов

    On Quasi-Components

    ОБ одном свойстве нульмерных метрических пространств

    Zum Eigenwertproblem bei analytischen operatorwertigen Funktionen, deren Koeffizienten positive Operatoren sind

    Note sur les espaces de voisinages (V) et les ordres semi-topogènes

    On the Hahn-Mazurkiewicz Problem in Non-Metric Spaces

    A Formai Connection Between Projectiveness for Compact and not Necessarily Compact Completely Regular Spaces

    A Survey of Dimension Theory

    Über die Potenzen Aα (0 ≤ α ≤ 1) eines abgeschlossenen Operators A in einem Banachraum

    Idealtopologien auf geordneten Mengen

    Topological Representation of Semigroups

    Two Theorems of the Descriptive Theory of Point Sets

    Ein Kompaktheitskriterium für Abbildungsräume mit einer verallgemeinerten uniformen Struktur

    КомпактньIе представления непрерьIвных алгебраических стрyктyр

    On Measurable Sets in Topological Spaces

    Über die verallgemeinerten uniformen Strukturen von Morita und ihre Vervollständigung

    Normale Zahlen und Bairesche Kategorien von Mengen

    Symmetrie Approach to the Fundamental Notions of General Topology

    Universal Spaces

    A New Dimension Type

    Topologies Compatible with Ordering

    Sur une généralisation de la propriété de Darboux

    Proximity and Construction of Compactifications with Given Properties

    The Simple Dimension of a Topologicai Space

    Размерность и мягкие пyчки

    Normality and Product Spaces

    Über eine Klasse lokalkonvexer Räume

    Structure of Tchebychev Sets

    О конечнократных отображениях

    Algebraic Generalization of the Topologicai Theorems of Bolzano and Weier-Strass

Product details

  • No. of pages: 366
  • Language: English
  • Copyright: © Academic Press 1967
  • Published: January 1, 1967
  • Imprint: Academic Press
  • eBook ISBN: 9781483223537

About the Editors

Z. Frolík

M. Katětov

V. Pták

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