New examples of hereditarily t-Baire spaces

• Autorzy: Kalenda O.
• Języki publikacji: EN

Abstrakty

EN

We introduce a new class of hereditarily t-Baire spaces (defined by G. Koumoullis (1993) - see below) which need not to have the restricted Baire property in a compactification - as an example serves the space (O,omega[sup 1])^A for A uncountable. We use this and a modification of a construction of D. Fremlin (1987) to get, under the assumption that there is a measurable cardinal, an example of a first class function of a hereditarily t-Baire space into a metric space which has no point of continuity, which shows, in answer to a question of G. Koumoullis (1993), that the cardinality restriction in his Theorem 4.1 cannot be dropped.

Słowa kluczowe

EN

countably compact space; first class function; hereditarily t-Baire space; restricted Baire property; weakly alpha-favorable space

PL

klasy funkcji; logika matematyczna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 2
• Strony: 197--210
• Opis fizyczny: Bibliogr. 7 poz,

Twórcy

autor

Kalenda O.