Infinite Products of Alephs.
Infinite products of alephs
Inhomogene Operationen reeller Ordinalzahlen.
Invariant measures and ideals on discrete groups [Book]
Kappa-Slender Modules
For an arbitrary infinite cardinal , we define classes of -cslender and -tslender modules as well as related classes of -hmodules and initiate a study of these classes.
Lengths of Submodule Chains Versus Krull Dimension in Non-Noetherian Modules.
Les chaínes complêtes sont simplifiables à droite pour la multiplication ordinale
Making factorizations compositive
The main aim of this paper is to obtain compositive cone factorizations from non-compositive ones by itereration. This is possible if and only if certain colimits of (possibly large) chains exist. In particular, we show that (strong-epi, mono) factorizations of cones exist if and only if joint coequalizers and colimits of chains of regular epimorphisms exist.
Maximal free sequences in a Boolean algebra
We study free sequences and related notions on Boolean algebras. A free sequence on a BA is a sequence of elements of , with an ordinal, such that for all with we have . A free sequence of length exists iff the Stone space has a free sequence of length in the topological sense. A free sequence is maximal iff it cannot be extended at the end to a longer free sequence. The main notions studied here are the spectrum function and the associated min-max function Among the results...
Monomorphisms of inductive number systems
Natural sums of ordinals
Natural well-orderings.
Několik poznámek k mohutnosti množin
Text je stručným přehledem nejdůležitějších vlastností nekonečných množin, mimo jiné vyvrací omyl publikovaný v článku Kuřina & Vondrová: Nekonečno, jak to vlastně je, UM 2003. "Zip Petera Zamarovského" není bijekcí mezi (0;1)x(0;1) a (0;1), ale pouze injekcí, tudíž ekvivalenci množiny všech bodů čtverce a úsečky nedokazuje. V článku je naznačen jiný důkaz.
Note sur la théorie des ensembles
O některých problémech souvisících s kardinální aritmetikou
On a classification of denumerable order types and an application to the partition calculus
On elementary cuts in models of arithmetic
On ...-filtered vector spaces and their application to abelian p-groups: I.
On metric σ-discrete spaces
By studying dimensional types of metric scattered spaces, we consider the wider class of metric σ-discrete spaces. Applying techniques relevant to this wider class, we present new proofs of some embeddable properties of countable metric spaces in such a way that they can be generalized onto uncountable metric scattered spaces. Related topics are also explored, which gives a few new results.
On reflection of stationary sets
We show that there are stationary subsets of uncountable spaces which do not reflect.