Remote points

Eric K. van Douwen

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1981

Abstract

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CONTENTS0. Conventions................................................................................................................................... 51. Introduction............................................................................................................................................. 5CHAPTER I. TOOLS AND THE CONSTRUCTION OF SPECIAL POINTS............................... 102. Tools........................................................................................................................................................ 103. Extension of open sets......................................................................................................................... 104. Construction of special points in X*................................................................................................... 12CHAPTER II. EFFECTIVE PROOFS USING REMOTE POINTS................................................. 165. Remote points and extremal disconnectedness at points........................................................... 166. Remote points and nonhomogeneity................................................................................................ 177.Čech-Stone compactifications and products.................................................................................... 198. When "extremally disconnected at" implies remote....................................................................... 229. Far points, remote points, and nonhomogeneity............................................................................ 24CHAPTER III. OTHER APPLICATIONS OF REMOTE POINTS................................................... 2510. Two examples on extremal disconnectedness............................................................................ 2511. A partition of R*.................................................................................................................................... 2612. Extremal disconnectedness and C*-embedding......................................................................... 2713. Connected compactifications........................................................................................................... 28CHAPTER IV. PROPERTIES OF REMOTE POINTS.................................................................... 3014: The structure of remote points.......................................................................................................... 3015. Nonhomogeneity of spaces of special points............................................................................... 3116. Special points and Baire spaces..................................................................................................... 3217. Pseudocompact spaces between X and βX.................................................................................. 32CHAPTER V. MISCELLANEOUS REMARKS................................................................................ 3618. Zero-dimensional spaces................................................................................................................. 3619. Q, Q*, Q**, Q***,................................................................................................................................... 3720. Retractions from βX onto X*.............................................................................................................. 3821. Products of remainders..................................................................................................................... 3922. Questions............................................................................................................................................. 40REFERENCES................................................................................................................................... 42INDEX................................................................................................................................................... 44

How to cite

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Eric K. van Douwen. Remote points. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1981. <http://eudml.org/doc/268346>.

@book{EricK1981,
abstract = {CONTENTS0. Conventions................................................................................................................................... 51. Introduction............................................................................................................................................. 5CHAPTER I. TOOLS AND THE CONSTRUCTION OF SPECIAL POINTS............................... 102. Tools........................................................................................................................................................ 103. Extension of open sets......................................................................................................................... 104. Construction of special points in X*................................................................................................... 12CHAPTER II. EFFECTIVE PROOFS USING REMOTE POINTS................................................. 165. Remote points and extremal disconnectedness at points........................................................... 166. Remote points and nonhomogeneity................................................................................................ 177.Čech-Stone compactifications and products.................................................................................... 198. When "extremally disconnected at" implies remote....................................................................... 229. Far points, remote points, and nonhomogeneity............................................................................ 24CHAPTER III. OTHER APPLICATIONS OF REMOTE POINTS................................................... 2510. Two examples on extremal disconnectedness............................................................................ 2511. A partition of R*.................................................................................................................................... 2612. Extremal disconnectedness and C*-embedding......................................................................... 2713. Connected compactifications........................................................................................................... 28CHAPTER IV. PROPERTIES OF REMOTE POINTS.................................................................... 3014: The structure of remote points.......................................................................................................... 3015. Nonhomogeneity of spaces of special points............................................................................... 3116. Special points and Baire spaces..................................................................................................... 3217. Pseudocompact spaces between X and βX.................................................................................. 32CHAPTER V. MISCELLANEOUS REMARKS................................................................................ 3618. Zero-dimensional spaces................................................................................................................. 3619. Q, Q*, Q**, Q***,................................................................................................................................... 3720. Retractions from βX onto X*.............................................................................................................. 3821. Products of remainders..................................................................................................................... 3922. Questions............................................................................................................................................. 40REFERENCES................................................................................................................................... 42INDEX................................................................................................................................................... 44},
author = {Eric K. van Douwen},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Remote points},
url = {http://eudml.org/doc/268346},
year = {1981},
}

TY - BOOK
AU - Eric K. van Douwen
TI - Remote points
PY - 1981
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTS0. Conventions................................................................................................................................... 51. Introduction............................................................................................................................................. 5CHAPTER I. TOOLS AND THE CONSTRUCTION OF SPECIAL POINTS............................... 102. Tools........................................................................................................................................................ 103. Extension of open sets......................................................................................................................... 104. Construction of special points in X*................................................................................................... 12CHAPTER II. EFFECTIVE PROOFS USING REMOTE POINTS................................................. 165. Remote points and extremal disconnectedness at points........................................................... 166. Remote points and nonhomogeneity................................................................................................ 177.Čech-Stone compactifications and products.................................................................................... 198. When "extremally disconnected at" implies remote....................................................................... 229. Far points, remote points, and nonhomogeneity............................................................................ 24CHAPTER III. OTHER APPLICATIONS OF REMOTE POINTS................................................... 2510. Two examples on extremal disconnectedness............................................................................ 2511. A partition of R*.................................................................................................................................... 2612. Extremal disconnectedness and C*-embedding......................................................................... 2713. Connected compactifications........................................................................................................... 28CHAPTER IV. PROPERTIES OF REMOTE POINTS.................................................................... 3014: The structure of remote points.......................................................................................................... 3015. Nonhomogeneity of spaces of special points............................................................................... 3116. Special points and Baire spaces..................................................................................................... 3217. Pseudocompact spaces between X and βX.................................................................................. 32CHAPTER V. MISCELLANEOUS REMARKS................................................................................ 3618. Zero-dimensional spaces................................................................................................................. 3619. Q, Q*, Q**, Q***,................................................................................................................................... 3720. Retractions from βX onto X*.............................................................................................................. 3821. Products of remainders..................................................................................................................... 3922. Questions............................................................................................................................................. 40REFERENCES................................................................................................................................... 42INDEX................................................................................................................................................... 44
LA - eng
UR - http://eudml.org/doc/268346
ER -

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