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Generalized Egoroff's theorem

In: Tatra Mountains Mathematical Publications, vol. 44, no. 3
Miroslav Repický
Detaily:
Rok, strany: 2009, 81 - 96
Kľúčové slová:
Egoroff's theorem, measure, category, cardinal invariants, Galois-Tukey embeddings
O článku:
This note is closely related to the paper [R. Pinciroli: {\it{On the independence of a generalized statement of Egoroff's theorem from ZFC after T. Weiss,}} Real Anal. Exchange \textbf{32} (2006–2007), 225–232] and it presents slight improvements of its results. Theorem 1.13 shows a connection with Galois-Tukey embeddings; Corollary 1.14 presents another inequality which is dual to the previously known one; Corollary 3.5 shows that there is no distinction between positive outer measure and full outer measure in the given context; and Corollary 4.3 unifies the known counterexamples.
Ako citovať:
ISO 690:
Repický, M. 2009. Generalized Egoroff's theorem. In Tatra Mountains Mathematical Publications, vol. 44, no.3, pp. 81-96. 1210-3195.

APA:
Repický, M. (2009). Generalized Egoroff's theorem. Tatra Mountains Mathematical Publications, 44(3), 81-96. 1210-3195.