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We prove that an -additive cover of a Čech complete, or more generally scattered-K-analytic space, has a σ-scattered refinement. This generalizes results of G. Koumoullis and R. W. Hansell.
Jiří Spurný. "$F_{σ}$-additive covers of Čech complete and scattered-K-analytic spaces." Fundamenta Mathematicae 199.2 (2008): 131-138. <http://eudml.org/doc/282981>.
@article{JiříSpurný2008, abstract = {We prove that an $F_\{σ\}$-additive cover of a Čech complete, or more generally scattered-K-analytic space, has a σ-scattered refinement. This generalizes results of G. Koumoullis and R. W. Hansell.}, author = {Jiří Spurný}, journal = {Fundamenta Mathematicae}, keywords = {-additive family; Čech complete spaces; Scattered-K-analytic spaces; -scattered refinement}, language = {eng}, number = {2}, pages = {131-138}, title = {$F_\{σ\}$-additive covers of Čech complete and scattered-K-analytic spaces}, url = {http://eudml.org/doc/282981}, volume = {199}, year = {2008}, }
TY - JOUR AU - Jiří Spurný TI - $F_{σ}$-additive covers of Čech complete and scattered-K-analytic spaces JO - Fundamenta Mathematicae PY - 2008 VL - 199 IS - 2 SP - 131 EP - 138 AB - We prove that an $F_{σ}$-additive cover of a Čech complete, or more generally scattered-K-analytic space, has a σ-scattered refinement. This generalizes results of G. Koumoullis and R. W. Hansell. LA - eng KW - -additive family; Čech complete spaces; Scattered-K-analytic spaces; -scattered refinement UR - http://eudml.org/doc/282981 ER -