Vipul: Created page with "==Definition== A topological space is termed '''rim-compact''' if it has a basis of open subsets such that the boundary (i.e., the closure minus the subset) f..."

2012-01-27T04:17:56Z

Created page with "==Definition== A topological space is termed '''rim-compact''' if it has a basis of open subsets such that the boundary (i.e., the closure minus the subset) f..."

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==Definition==

A [[topological space]] is termed '''rim-compact''' if it has a [[basis]] of [[open subset]]s such that the [[boundary]] (i.e., the closure minus the subset) for each of the subsets is a [[compact space]] under the [[subspace topology]].

==Relation with other properties==

===Stronger properties===

{| class="sortable" border="1"
! Property !! Meaning !! Proof of implication !! Proof of strictness (reverse implication failure) !! Intermediate notions
|-
| [[Weaker than::compact space]] || || [[compact implies rim-compact]] || [[rim-compact not implies compact]] || {{intermediate notions short|rim-compact space|compact space}}
|}

Rim-compact space - Revision history

Vipul: Created page with "==Definition== A topological space is termed '''rim-compact''' if it has a basis of open subsets such that the boundary (i.e., the closure minus the subset) f..."