Compactness and guessing principles in the Radin extensions

Weak Compactness of the Set of ε-Extensions

The comparison of various club guessing principles

the relationship between topic familiarity and guessing lexical meaning and retention among iranian efl learners

the skill of reading in english as a foreign language is an important and challenging one which is affected both by linguistic and extra linguistic factors. since vocabularies are part and parcel of every reading comprehension text, knowing enough vocabulary always facilitates this process. however, guessing strategy as one of the most important strategies has consistently ignored by language l...

weak compactness of the set of ε-extensions

Sober Spaces, Well-Filtration and Compactness Principles

We investigate various notions of sobriety for topological spaces that are equivalent in ZF set theory with the Axiom of Choice but may differ in the absence of choice principles. The Ultrafilter Principle UP (alias Prime Ideal Theorem) suffices for the desired conclusions. We derive from UP three topological postulates and prove their equivalence in ZF without choice: the Well-Filtration Princ...