Set-Theoretic Topology

Set-Theoretic Topology

1st Edition - January 1, 1977

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  • Editor: George M. Reed
  • eBook ISBN: 9781483263922

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Description

Set-Theoretic Topology deals with results concerning set theoretic topology and indicates directions for further investigations. Topics covered include normality and conditions in abstract spaces, compactifications, cardinal invariance, mapping theory, product spaces, and metrization. Comprised of 29 chapters, this volume begins with an example concerning the preservation of the Lindelöf property in product spaces, followed by a discussion on closed-completeness in spaces with a quasi-G? diagonal and with weak covering properties. The reader is then introduced to countably compact extensions of normal locally compact M-spaces; continuously semi-metrizable spaces; and closed discrete collections of singular cardinality. Subsequent chapters focus on open mapping theory; a selection-theoretic approach to certain extension theorems; semicompletable Moore spaces; and non-normal spaces. The book also considers complete mappings in base of countable order theory before concluding with an analysis of locally separable Moore spaces. This monograph should be of value to students, researchers, and specialists in the field of mathematics.

Table of Contents


  • Contributors

    Preface

    Acknowledgments

    An Example Concerning the Preservation of the Lindelöf Property in Product Spaces

    Closed-Completeness in Spaces with a Quasi-Gδ Diagonal

    Closed-Completeness in Spaces with Weak Covering Properties

    z-Embedding in βX x βY

    A Note on δθ-Refinable Spaces

    On Countably Compact Extensions of Normal Locally Compact M-Spaces

    A Characterization of Continuously Semimetrizable Spaces

    Density of Compactifications

    The Pixley-Roy Topology on Spaces of Subsets

    Separating Closed Discrete Collections of Singular Cardinality

    Open Mapping Theory

    Moore-Closed and Locally Moore-Closed Spaces

    A Construction of a Quasi-Metric Souslin Space with a Point-Countable Base

    On Generating Non-Orthocompact Spaces

    The Alexandroff-Urysohn Metrization Theorem Revisited

    G(m)-Spaces and Related Topics

    Strong S and L Spaces Under MA

    A Selection-Theoretic Approach to Certain Extension Theorems

    Some Surprising Base Properties in Topology II

    Some Results from A-Spaces

    Some Observations on Semicompletable Moore Spaces

    Normality and Separability of Moore Spaces

    Orthocompactness is Normality in Finite Products of Locally Compact LOTS's

    A Reduction of the Hereditarily Separable Non-Lindelöf Problem

    First Countable Spaces with Caliber δ1 may or may not be Separable

    Some Examples Concerning α-Bounded Spaces

    Non-Normal Spaces

    Complete Mappings in Base of Countable Order Theory

    Locally Separable Moore Spaces

Product details

  • No. of pages: 452
  • Language: English
  • Copyright: © Academic Press 1977
  • Published: January 1, 1977
  • Imprint: Academic Press
  • eBook ISBN: 9781483263922

About the Editor

George M. Reed

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