Yang Ming-quan
Abstract
The following result is proved:Let X be the inverse limit of an inverse system ｛X_α,π~α_β,Λ｝ and λ the cardinal number of Λ.Suppose each projection π_α:X→X_α is an open and onto map and X is hereditarily λ-paracompact.If each X_α is hereditarily Orthocampact,then X is hereditarily Orthocampact.
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The following result is proved:Let X be the inverse limit of an inverse system ｛X_α,π~α_β,Λ｝ and λ the cardinal number of Λ.Suppose each projection π_α:X→X_α is an open and onto map and X is hereditarily λ-paracompact.If each X_α is hereditarily Orthocampact,then X is hereditarily Orthocampact.
Key concepts: Inverse limit, Mathematics, Inverse, Limit (mathematics), Paracompact space, Inverse system, Projection (relational algebra), Space (punctuation)