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Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
1. Interesting mappings on finite powers..................................................... 5
2. Results.................................................................................................................... 6
3. Conventions and notation.................................................................................... 8
4. βω-spaces.............................................................................................................. 8
5. Canonical partition relations and the Prime Mapping Lemma.................... 9
6. The Number of Factors Lemma......................................................................... 11
7. Consequences of the Number of Factors Lemma......................................... 13
8. Direction of the coordinate axes......................................................................... 16
9. Binary operations................................................................................................... 18
10. Extension of binary operations.......................................................................... 21
11. Stronger versions of the Prime Mapping Lemma.......................................... 22
12. Extensions of binary operations on ω............................................................... 23
13. Examples................................................................................................................ 24
14. Appendix 1: An application of non-Q-points..................................................... 25
15. Appendix 3: Homeomorphs of βω in certain finite powers............................ 26
16. Appendix 3: Mappings onto βω-spaces............................................................ 28
17. Appendix 4: Square compactiiications.............................................................. 29
18. Appendix 5: Some points of interest.................................................................. 30
References.................................................................................................................... 34
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
199
Liczba stron
35
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CXCIX
Daty
wydano
1981
Twórcy
autor
Bibliografia
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- [Cu] A. Crummer, Ph. D. Thesis, Univ. of Florida, 1970. [18.D]
- [vD1] E. K. van Douwen, When Πβ and βΠ are homeomorphic. Bull. Polon. Acad. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), pp. 271-274. [7.9]
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- [vD4] E. K. van Douwen, Nonhomogeneity of preimages of products and π-weight, Proc. Amer. Math. Soc. 69 (1978), pp. 183-192. [9.5]
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- [ER1] P. Erdös and R. Rado, A combinatorial theorem, J. London Math. Soc. 25 (1950), pp. 249-255. [5.1]
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- [F] V. V. Fedorčuk. A compact space having the cardinality of the continuum with no convergent sequences. Math. Proc. Cambridge Philos. Soc. 81 (1977), pp. 177— 181. [9.5]
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