Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
1. Introduction.............................................................................5
2. Ordered scattered spaces......................................................6
2.1. Topological type..................................................................6
2.2. Ordered spaces..................................................................6
2.3. Rim-type.............................................................................9
2.4. Disk partitions.....................................................................9
3. Partition theorems.................................................................12
3.1. Partition Pullback Theorem...............................................13
3.2. Defining sequences of partitions.......................................13
3.3. a-Circlelacing lemmas.......................................................14
3.4. Brick Pulverizing Lemma...................................................15
3.5. Construction of a containing space...................................20
4. Embedding Theorem.............................................................21
5. Universal spaces...................................................................24
5.1. Question...........................................................................25
5.2. The Sierpiński curve.........................................................25
5.3. A conjectured universal planar rational space...................26
5.4. A conjectured universal planar space of rim-type ≤ a........26
References................................................................................26
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
300
Liczba stron
27
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, CCC
Daty
wydano
1988
otrzymano
1988-11-29
Twórcy
autor
- University of Alabama at Birmingham, Birmingham, AL, 35294, USA
autor
- University of Saskatchewan, Saskatoon, Saskatchewan, S7N OWO, Canada
Bibliografia
- [A1] R. D. Anderson, A characterization of the universal curve and a proof of its homogeneity, Ann. of Math. 67 (1958), 313-324.
- [A2] R. D. Anderson, One-dimensional continuous curves and a homogeneity theorem, Ann. of Math. 68 (1958), 1-16.
- [I1] S. D. Iliadis, On rim-type of spaces, in: Topology, Proceedings of the International Topological Conference held in Leningrad, August, 1982, Lecture Notes in Math. 1060, Springer-Verlag, Berlin 1984, 45-64.
- [I2] S. D. Iliadis, Rim-finite spaces and the property of universality, Houston J. Math. 12 (1986), 55-78.
- [I3] S. D. Iliadis, The rim-type of spaces and the property of universality, preprint.
- [I4] S. D. Iliadis, Rational spaces and the property of universality, preprint.
- [IT] S. D. Iliadis and E. D. Tymchatyn, Compactifications with minimum rim-type of rational spaces, preprint.
- [K] K. Kuratowski, Topology, Volumes I and II, Academic Press, New York 1968.
- [MT] J. C. Mayer and E. D. Tymchatyn, Universal rational spaces, Dissertationes Math. 293 (1990).
- [MS] S. Mazurkiewicz and W. Sierpiński, Contribution à la topologie des ensembles dénombrables. Fund. Math. 1 (1920), 17-27.
- [W] G. T. Whyburn, Topological characterization of the Sierpiński curve, ibid. 45 (1958), 320-324.
Języki publikacji
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Uwagi
Identyfikator YADDA
bwmeta1.element.zamlynska-1a7fa809-c5df-4e0a-9133-fb9967bcefd6
Identyfikatory
ISBN
83-01-10002-8
ISSN
0012-3862
Kolekcja
DML-PL
