O riešení niektorých nerozhodnutelných topologických problémov
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Displaying 1 – 20 of 29
On a problem of Erdös and Tarski
W. Hanf (1964)
Fundamenta Mathematicae
On a Problem of Silver
Arthur Apter (1983)
Fundamenta Mathematicae
On a theorem of Jones and Heath concerning separable normal spaces
A. T. Charlesworth, R. E. Hodel, F. D. Tall (1975)
Colloquium Mathematicae
On Cartesian Powers of a Rational Group.
Martin Huber (1979)
Mathematische Zeitschrift
On club-like principles on regular cardinals above
Mirna Džamonja (2001)
Acta Universitatis Carolinae. Mathematica et Physica
On families of Lindelöf and related subspaces of
Lúcia Junqueira, Piotr Koszmider (2001)
Fundamenta Mathematicae
We consider the families of all subspaces of size ω₁ of (or of a compact zero-dimensional space X of weight ω₁ in general) which are normal, have the Lindelöf property or are closed under limits of convergent ω₁-sequences. Various relations among these families modulo the club filter in are shown to be consistently possible. One of the main tools is dealing with a subspace of the form X ∩ M for an elementary submodel M of size ω₁. Various results with this flavor are obtained. Another tool used...
On full Suslin trees
Saharon Shelah (1999)
Colloquium Mathematicae
On Helling cardinals
A. Wojciechowska (1972)
Fundamenta Mathematicae
On inaccessible cardinal numbers.
Alexander Abian (1969)
Archiv für mathematische Logik und Grundlagenforschung
On isomorphism classes of spaces
Elói Medina Galego (2009)
Fundamenta Mathematicae
We provide a complete isomorphic classification of the Banach spaces of continuous functions on the compact spaces , the topological sums of Cantor cubes , with smaller than the first sequential cardinal, and intervals of ordinal numbers [0,α]. In particular, we prove that it is relatively consistent with ZFC that the only isomorphism classes of spaces with ≥ ℵ₀ and α ≥ ω₁ are the trivial ones. This result leads to some elementary questions on large cardinals.
On iterated forcing for successors of regular cardinals
Todd Eisworth (2003)
Fundamenta Mathematicae
We investigate the problem of when ≤λ-support iterations of < λ-complete notions of forcing preserve λ⁺. We isolate a property- properness over diamonds-that implies λ⁺ is preserved and show that this property is preserved by λ-support iterations. Our condition is a relative of that presented by Rosłanowski and Shelah in [2]; it is not clear if the two conditions are equivalent. We close with an application of our technology by presenting a consistency result on uniformizing colorings of ladder...
On level by level equivalence and inequivalence between strong compactness and supercompactness
Arthur W. Apter (2002)
Fundamenta Mathematicae
We prove two theorems, one concerning level by level inequivalence between strong compactness and supercompactness, and one concerning level by level equivalence between strong compactness and supercompactness. We first show that in a universe containing a supercompact cardinal but of restricted size, it is possible to control precisely the difference between the degree of strong compactness and supercompactness that any measurable cardinal exhibits. We then show that in an unrestricted size universe...
On nonmonotone inductive definability
Yiannis Moschovakis (1974)
Fundamenta Mathematicae
On reflection of stationary sets
Q. Feng, Menachem Magidor (1992)
Fundamenta Mathematicae
We show that there are stationary subsets of uncountable spaces which do not reflect.
On saturated almost disjoint families
András Hajnal, István Juhász, Lajos Soukup (1987)
Commentationes Mathematicae Universitatis Carolinae
On saturated sets of ideals and Ulam's problem
Alan Taylor (1980)
Fundamenta Mathematicae
On some combinatorial problems involving large cardinals
A. Hajnal (1970)
Fundamenta Mathematicae
On squares, outside guessing of clubs and I
Mirna Džamonja, Saharon Shelah (1995)
Fundamenta Mathematicae
On Supernormal Ehresmann-Dedecker Universes.
D. Brignole, N.C.A. Da Costa (1971)
Mathematische Zeitschrift
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