The following results are proved:1. Let X be a screenable p-space and Y a metric space. Then X × Y is screenable.2. Let X be a strongly submetacompact p-space and Y a metacompact Σ-space. ThenN × Y is stron...The following results are proved:1. Let X be a screenable p-space and Y a metric space. Then X × Y is screenable.2. Let X be a strongly submetacompact p-space and Y a metacompact Σ-space. ThenN × Y is strongly submetacompact.3. Suppose that X = ∏ Xn is countably paracompact and for each n < ω, ∏ Xi issubmota-Lindelsf Then X is submeta-Lindelof展开更多
文摘The following results are proved:1. Let X be a screenable p-space and Y a metric space. Then X × Y is screenable.2. Let X be a strongly submetacompact p-space and Y a metacompact Σ-space. ThenN × Y is strongly submetacompact.3. Suppose that X = ∏ Xn is countably paracompact and for each n < ω, ∏ Xi issubmota-Lindelsf Then X is submeta-Lindelof
