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
@book{bwmeta1.element.zamlynska-7b8987f3-5158-479a-9a66-f5607b9004c4,
author = {Eric K. van Douwen},
title = {Prime mappings, number of factors and binary operations},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1981},
zbl = {0511.54013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-7b8987f3-5158-479a-9a66-f5607b9004c4}
}
Eric K. van Douwen. Prime mappings, number of factors and binary operations. GDML_Books (1981), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-7b8987f3-5158-479a-9a66-f5607b9004c4/