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
@book{bwmeta1.element.zamlynska-334f9e04-e784-4a82-8eb3-b9605ad33a80,
author = {Eric K. van Douwen},
title = {Remote points},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1981},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-334f9e04-e784-4a82-8eb3-b9605ad33a80}
}
Eric K. van Douwen. Remote points. GDML_Books (1981), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-334f9e04-e784-4a82-8eb3-b9605ad33a80/