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 / Modena, S.; Tironi, Gino. - In: MATHEMATICA PANNONICA. - ISSN 0865-2090. - STAMPA. - 21/2 (2010):(2010), pp. 159-175.
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:
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