Characterizing stable complete Erdos space

Israel Journal of Mathematics

Volumn 186, Issue 1, 2011, Pages 477-507

  Dijkstra, Jan J ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80155171829     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/s11856-011-0149-7     Document Type: Article

References (26)

1. M. Abry and J. J. Dijkstra, On topological Kadec norms, Mathematische Annalen 332 (2005), 759-765.
2. P. Alexandroff and P. Urysohn, Über nulldimensionale Punktmengen, Mathematische Annalen 98 (1928), 89-106.
3. R. Bennett, Countable dense homogeneous spaces, Fundamenta Mathematicae 74 (1972), 189-194.
4. L. E. J. Brouwer, On the structure of perfect sets of points, Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings 12 (1910), 785-794.
5. W. D. Bula and L. G. Oversteegen, A characterization of smooth Cantor bouquets, Proceedings of the American Mathematical Society 108 (1990), 529-534.
6. W. J. Charatonik, The Lelek fan is unique, Houston Journal of Mathematics 15 (1989), 27-34.
7. J. J. Dijkstra, A criterion for Erdos spaces, Proceedings of the Edinburgh Mathematical Society 48 (2005), 595-601.
8. J. J. Dijkstra, A homogeneous space that is one-dimensional but not cohesive, Houston Journal of Mathematics 32 (2006), 1093-1099.
9. J. J. Dijkstra, Homogeneity properties with isometries and Lipschitz functions, The Rocky Mountain Journal of Mathematics 40 (2010), 1505-1525.
10. J. J. Dijkstra and J. van Mill, Homeomorphism groups of manifolds and Erdos space, Electronic Research Announcements of the American Mathematical Society 10 (2004), 29-38.
11. J. J. Dijkstra and J. van Mill, A counterexample concerning line-free groups and complete Erdos space, Proceedings of the American Mathematical Society 134 (2006), 2281-2283.
12. J. J. Dijkstra and J. van Mill, Erdos space and homeomorphism groups of manifolds, Memoirs of the American Mathematical Society 208 (2010), no. 979, vi+62 pp.
13. J. J. Dijkstra and J. van Mill, Characterizing complete Erdos space, Canadian Journal of Mathematics 61 (2009), 124-140.
14. J. J. Dijkstra and J. van Mill, Negligible sets in Erdos spaces, in preparation.
15. J. J. Dijkstra, J. van Mill and J. Steprāns, Complete Erdos space is unstable, Mathematical Proceedings of the Cambridge Philosophical Society 137 (2004), 465-473.
16. R. Engelking, Dimension Theory, North-Holland, Amsterdam, 1978.
17. A. J. M. van Engelen, Homogeneous Zero-dimensional Absolute Borel Sets, CWI Tract, Vol. 27, Centre for Mathematics and Computer Science, Amsterdam, 1986.
18. P. Erdos, The dimension of the rational points in Hilbert space, Annals of Mathematics 41 (1940), 734-736.
19. K. Kawamura, L. G. Oversteegen and E. D. Tymchatyn, On homogeneous totally disconnected 1-dimensional spaces, Fundamenta Mathematicae 150 (1996), 97-112.
20. A. Lelek, On plane dendroids and their end points in the classical sense, Fundamenta Mathematicae 49 (1961), 301-319.
21. M. Levin and R. Pol, A metric condition which implies dimension ≤1, Proceedings of the American Mathematical Society 125 (1997), 269-273.
22. J. van Mill, Infinite-Dimensional Topology, Prerequisites and Introduction, North-Holland, Amsterdam, 1989.
23. L. G. Oversteegen and E. D. Tymchatyn, On the dimension of certain totally disconnected spaces, Proceedings of the American Mathematical Society 122 (1994), 885-891.
24. σδ, Fundamenta Mathematicae 6 (1924), 24-29.
25. J. R. Steel, Analytic sets and Borel isomorphisms, Fundamenta Mathematicae 108 (1980), 83-88.
26. H. Toruńczyk, Characterizing Hilbert space topology, Fundamenta Mathematicae 111 (1981), 247-262.