证明了如下结果:(1)如果X=multiply from t∈∑ Xτ是∑-仿紧空间,则X是subortho-紧空间当且仅当F∈[∑]〈ε,X=multiply from τ∈F Xτ是subortho-紧空间.(2)设X=multiply from i∈ω Xi是可数仿紧的,则下列3y条等价:X是subort...证明了如下结果:(1)如果X=multiply from t∈∑ Xτ是∑-仿紧空间,则X是subortho-紧空间当且仅当F∈[∑]〈ε,X=multiply from τ∈F Xτ是subortho-紧空间.(2)设X=multiply from i∈ω Xi是可数仿紧的,则下列3y条等价:X是subortho-紧的;F∈[ω]〈ω,X=multiply from i∈F Xi是subortho-紧的;n∈ω,multiply from i≤n Xi是subortho-紧的.展开更多
文摘证明了如下结果:(1)如果X=multiply from t∈∑ Xτ是∑-仿紧空间,则X是subortho-紧空间当且仅当F∈[∑]〈ε,X=multiply from τ∈F Xτ是subortho-紧空间.(2)设X=multiply from i∈ω Xi是可数仿紧的,则下列3y条等价:X是subortho-紧的;F∈[ω]〈ω,X=multiply from i∈F Xi是subortho-紧的;n∈ω,multiply from i≤n Xi是subortho-紧的.