A large $F_\sigma $-discrete Fréchet space having the Souslin property

Vladimir Vladimirovich Uspenskij

Displaying similar documents to “A large $F_{σ}$ -discrete Fréchet space having the Souslin property”

Countably compact spaces all countable subsets of which are scattered

István Juhász, Jan van Mill (1981)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Approximation of $𝐑^{X}$ with countable subsets of $C_{p} (X)$ and calibers of the space $C_{p} (X)$

Vladimir Vladimirovich Tkachuk (1986)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Property $(a)$ and dominating families

Samuel Gomes da Silva (2005)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Generalizations of earlier negative results on Property $(a)$ are proved and two questions on an $(a)$ -version of Jones’ Lemma are posed. We discuss these questions in the realm of locally compact spaces. Using dominating families of functions as a tool, we prove that under the assumptions “ $2^{ω}$ is regular” and “ $2^{ω} < 2^{ω_{1}}$ ” the existence of a $T_{1}$ separable locally compact $(a)$ -space with an uncountable closed discrete subset implies the existence of inner models with measurable cardinals. We also use cardinal...

Special lattices of compactifications

Alessandro Caterino (1985)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Displaying similar documents to “A large F σ -discrete Fréchet space having the Souslin property”

Countably compact spaces all countable subsets of which are scattered

Approximation of 𝐑 X with countable subsets of C p ( X ) and calibers of the space C p ( X )

Property ( a ) and dominating families

Special lattices of compactifications

Displaying similar documents to “A large $F_{σ}$ -discrete Fréchet space having the Souslin property”

Approximation of $𝐑^{X}$ with countable subsets of $C_{p} (X)$ and calibers of the space $C_{p} (X)$

Property $(a)$ and dominating families