Prime mappings, number of factors and binary operations

Eric K. van Douwen. Prime mappings, number of factors and binary operations. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1981. <http://eudml.org/doc/268647>.

@book{EricK1981,
abstract = {CONTENTS1. Interesting mappings on finite powers..................................................... 52. Results.................................................................................................................... 63. Conventions and notation.................................................................................... 84. βω-spaces.............................................................................................................. 85. Canonical partition relations and the Prime Mapping Lemma.................... 96. The Number of Factors Lemma......................................................................... 117. Consequences of the Number of Factors Lemma......................................... 138. Direction of the coordinate axes......................................................................... 169. Binary operations................................................................................................... 1810. Extension of binary operations.......................................................................... 2111. Stronger versions of the Prime Mapping Lemma.......................................... 2212. Extensions of binary operations on ω............................................................... 2313. Examples................................................................................................................ 2414. Appendix 1: An application of non-Q-points..................................................... 2515. Appendix 3: Homeomorphs of βω in certain finite powers............................ 2616. Appendix 3: Mappings onto βω-spaces............................................................ 2817. Appendix 4: Square compactiiications.............................................................. 2918. Appendix 5: Some points of interest.................................................................. 30References.................................................................................................................... 34},
author = {Eric K. van Douwen},
keywords = {p-prime mapping; beta-omega-space; Stone-Cech compactification of the countable discrete space; Stone-Cech remainder of a realcompact space; first countable non-compact realcompact space without isolated points; continuous binary operations; means},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Prime mappings, number of factors and binary operations},
url = {http://eudml.org/doc/268647},
year = {1981},
}

TY - BOOK
AU - Eric K. van Douwen
TI - Prime mappings, number of factors and binary operations
PY - 1981
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTS1. Interesting mappings on finite powers..................................................... 52. Results.................................................................................................................... 63. Conventions and notation.................................................................................... 84. βω-spaces.............................................................................................................. 85. Canonical partition relations and the Prime Mapping Lemma.................... 96. The Number of Factors Lemma......................................................................... 117. Consequences of the Number of Factors Lemma......................................... 138. Direction of the coordinate axes......................................................................... 169. Binary operations................................................................................................... 1810. Extension of binary operations.......................................................................... 2111. Stronger versions of the Prime Mapping Lemma.......................................... 2212. Extensions of binary operations on ω............................................................... 2313. Examples................................................................................................................ 2414. Appendix 1: An application of non-Q-points..................................................... 2515. Appendix 3: Homeomorphs of βω in certain finite powers............................ 2616. Appendix 3: Mappings onto βω-spaces............................................................ 2817. Appendix 4: Square compactiiications.............................................................. 2918. Appendix 5: Some points of interest.................................................................. 30References.................................................................................................................... 34
LA - eng
KW - p-prime mapping; beta-omega-space; Stone-Cech compactification of the countable discrete space; Stone-Cech remainder of a realcompact space; first countable non-compact realcompact space without isolated points; continuous binary operations; means
UR - http://eudml.org/doc/268647
ER -