Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: products

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

A prime factor theorem for a generalized direct product

100%

Imrich W., Stadler P.

Discussiones Mathematicae Graph Theory

2006

tom 26

nr 1

135-140

We introduce the concept of neighborhood systems as a generalization of directed, reflexive graphs and show that the prime factorization of neighborhood systems with respect to the the direct product is unique under the condition that they satisfy an appropriate notion of thinness.

On character and chain conditions in images of products

88%

Bell M. G.

Fundamenta Mathematicae

1998

tom 158

nr 1

41-49

A scadic space is a Hausdorff continuous image of a product of compact scattered spaces. We complete a theorem begun by G. Chertanov that will establish that for each scadic space X, χ(X) = w(X). A ξ-adic space is a Hausdorff continuous image of a product of compact ordinal spaces. We introduce an either-or chain condition called Property $R_λ'$ which we show is satisfied by all ξ-adic spaces. Whereas Property $R_λ'$ is productive, we show that a weaker (but more natural) Property $R_λ$ is not productive. Polyadic spaces are shown to satisfy a stronger chain condition called Property $R_λ''$. We use Property $R_λ'$ to show that not all compact, monolithic, scattered spaces are ξ-adic, thus answering a question of Chertanov's.

Ograniczanie wyników

1 Discussiones Mathematicae Graph Theory

1 Fundamenta Mathematicae

1 Bell M. G.

1 Imrich W.

1 Stadler P.

1 2006

1 1998

Wyniki wyszukiwania

A prime factor theorem for a generalized direct product

On character and chain conditions in images of products