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Paracompactness in ordered spaces

R. Engelking, D. Lutzer (1977)

Fundamenta Mathematicae

Paracompactness in the class of closed images of GO-spaces

Witold Bula (1986)

Fundamenta Mathematicae

Partial order and collapsibility of 2-complexes

E. Tymchatyn (1972)

Fundamenta Mathematicae

Partially ordered sets with projections and their topology [Book]

Ralph Kummetz (2004)

Polouspořádané lineární prostory

Vlastimil Pták (1951)

Časopis pro pěstování matematiky

Pressing Down Lemma for $λ$ -trees and its applications

Hui Li, Liang-Xue Peng (2013)

Czechoslovak Mathematical Journal

For any ordinal $λ$ of uncountable cofinality, a $λ$ -tree is a tree $T$ of height $λ$ such that $| T_{α} | < cf (λ)$ for each $α < λ$ , where $T_{α} = {x \in T : ht (x) = α}$ . In this note we get a Pressing Down Lemma for $λ$ -trees and discuss some of its applications. We show that if $η$ is an uncountable ordinal and $T$ is a Hausdorff tree of height $η$ such that $| T_{α} | \leq ω$ for each $α < η$ , then the tree $T$ is collectionwise Hausdorff if and only if for each antichain $C \subset T$ and for each limit ordinal $α \leq η$ with $cf (α) > ω$ , ${ht (c) : c \in C} \cap α$ is not stationary in $α$ . In the last part of this note, we investigate some...

Displaying 1 – 10 of 10

Paracompactness in ordered spaces

Paracompactness in the class of closed images of GO-spaces

Partial order and collapsibility of 2-complexes

Partially ordered sets with projections and their topology [Book]

Polouspořádané lineární prostory

Pressing Down Lemma for $λ$ -trees and its applications

Primitive words and spectral spaces.

Problems 44 and 39 on compact semilattices.

Profinite relational structures

Property Q.

Currently displaying 1 – 10 of 10