Pseudoradial normal spaces of any order of pseudoradiality given by an ordinal number not greater than $\sigma_c(X)^+$ are constructed. Another construction with similar properties is given for compact $T_1$ spaces. Finally pseudoradial spaces of cardinality $\omega_{\alpha}$ and pseudoradial order $\omega_{\alpha+1}$ are exhibited. The most important tools to perform such constructions are those contained in Lemma 2.7, Theorem 2.8, Theorem 4.2 and Theorem 5.2.
Pseudoradial order of pseudoradial spaces
TIRONI, GINO
2010-01-01
Abstract
Pseudoradial normal spaces of any order of pseudoradiality given by an ordinal number not greater than $\sigma_c(X)^+$ are constructed. Another construction with similar properties is given for compact $T_1$ spaces. Finally pseudoradial spaces of cardinality $\omega_{\alpha}$ and pseudoradial order $\omega_{\alpha+1}$ are exhibited. The most important tools to perform such constructions are those contained in Lemma 2.7, Theorem 2.8, Theorem 4.2 and Theorem 5.2.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
