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Compact scattered spaces in forcing extensions
- Source :
- Fundamenta Mathematicae. 185:261-266
- Publication Year :
- 2005
- Publisher :
- Institute of Mathematics, Polish Academy of Sciences, 2005.
-
Abstract
- We consider the cardinal sequences of compact scattered spaces in models where CH is false. We describe a number of models where the continuum is aleph_2 in which no such space can have aleph_2 countable levels.<br />6 pages
- Subjects :
- Discrete mathematics
Aleph
Algebra and Number Theory
Forcing (recursion theory)
Continuum (topology)
010102 general mathematics
General Topology (math.GN)
Mathematics::General Topology
Mathematics - Logic
0102 computer and information sciences
Aleph number
Space (mathematics)
01 natural sciences
54G12
Mathematics::Logic
010201 computation theory & mathematics
FOS: Mathematics
Countable set
General topology
0101 mathematics
Logic (math.LO)
Computer Science::Databases
Mathematics - General Topology
Mathematics
Subjects
Details
- ISSN :
- 17306329 and 00162736
- Volume :
- 185
- Database :
- OpenAIRE
- Journal :
- Fundamenta Mathematicae
- Accession number :
- edsair.doi.dedup.....196764b38519f3f0c564904fd09d5957
- Full Text :
- https://doi.org/10.4064/fm185-3-4