query: What do you call a space whose only compact sets are finite?
positive_passages.docid: 65976
positive_passages.text: in a topological space only finite subsets are compact sets
negative_passages.docid: 102048
negative_passages.text: Closure of a compact set in Regular space $ X $
negative_passages.docid: 60424
negative_passages.text: Uncountable family of uncountable compact subsets of $\mathbb{R}$
negative_passages.docid: 73154
negative_passages.text: Compact subset in colimit of spaces
negative_passages.docid: 115794
negative_passages.text: When is the vector space of continuous functions on a compact Hausdorff space finite dimensional?
negative_passages.docid: 36631
negative_passages.text: Is $[0,1] \cap \Bbb Q$ a compact subset of $\Bbb Q$?
negative_passages.docid: 127166
negative_passages.text: Specific example of a space that is separable but not second countable.
negative_passages.docid: 81927
negative_passages.text: Example of closed and bounded in $\mathbb Q$ set that is not compact
negative_passages.docid: 4213
negative_passages.text: The set that only contains itself
negative_passages.docid: 11114
negative_passages.text: Is a closed subset of a compact set (which is a subset of a metric space $M$) compact?
negative_passages.docid: 82778
negative_passages.text: If a measure is semifinite, then there are sets of arbitrarily large but finite measure
negative_passages.docid: 8015
negative_passages.text: Compact set plus a closed set is a closed set
negative_passages.docid: 109374
negative_passages.text: Is the Discrete Topology on $X$ the Only One Containing All Infinite Subsets of $X$?
negative_passages.docid: 97064
negative_passages.text: Dense set in an infinite cofinite space
negative_passages.docid: 149220
negative_passages.text: If every compact set is closed, then is the space Hausdorff?
negative_passages.docid: 80414
negative_passages.text: Countable Product of Sequentially Compact spaces is Sequentially Compact
negative_passages.docid: 55374
negative_passages.text: Cover of (0,1) with no finite subcover & Open sets of compact function spaces