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1
Content available remote

Subgroups of the Baer–Specker group with few endomorphisms but large dual

100%
Blass A., Göbel R.
Fundamenta Mathematicae
|
1996
|
tom 149
|
nr 1
19-29
EN
Assuming the continuum hypothesis, we construct a pure subgroup G of the Baer-Specker group $ℤ^{ℵ_0}$ with the following properties. Every endomorphism of G differs from a scalar multiplication by an endomorphism of finite rank. Yet G has uncountably many homomorphisms to ℤ.
2
Content available remote

Finite Embeddability of Sets and Ultrafilters

100%
Blass A., Di Nasso M.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2015
|
tom 63
|
nr 3
195-206
EN
A set A of natural numbers is finitely embeddable in another such set B if every finite subset of A has a rightward translate that is a subset of B. This notion of finite embeddability arose in combinatorial number theory, but in this paper we study it in its own right. We also study a related notion of finite embeddability of ultrafilters on the natural numbers. Among other results, we obtain connections between finite embeddability and the algebraic and topological structure of the Stone-Čech compactification of the discrete space of natural numbers. We also obtain connections with nonstandard models of arithmetic.
3
Content available remote

Inaccessible cardinals without the axiom of choice

81%
Blass A., Dimitriou I., Löwe B.
Fundamenta Mathematicae
|
2007
|
tom 194
|
nr 2
179-189
EN
We consider four notions of strong inaccessibility that are equivalent in ZFC and show that they are not equivalent in ZF.
4
Content available remote

Words, free algebras, and coequalizers

60%
Blass A.
Fundamenta Mathematicae
|
1983
|
tom 117
|
nr 2
117-160
5
Content available remote

Prime ideals yield almost maximal ideals

60%
Blass A.
Fundamenta Mathematicae
|
1987
|
tom 127
|
nr 1
57-66
6
Content available remote

Degrees of indeterminacy of games

50%
Blass A.
Fundamenta Mathematicae
|
1972-1973
|
tom 77
|
nr 2
151-166
7
Content available remote

Two closed categories of filters

50%
Blass A.
Fundamenta Mathematicae
|
1977
|
tom 94
|
nr 2
129-143
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