query: Is local compactness preserved by continuous closed onto functions?
positive_passages.docid: 147914
positive_passages.text: Closed image of locally compact space
negative_passages.docid: 124959
negative_passages.text: Does weak compactness imply boundedness in a normed vector space (not necessarily complete)?
negative_passages.docid: 28637
negative_passages.text: Proving continuous image of compact sets are compact
negative_passages.docid: 126759
negative_passages.text: Unbounded continuous function on non-compact metric space
negative_passages.docid: 127173
negative_passages.text: Closed subset of compact set is compact
negative_passages.docid: 47251
negative_passages.text: Non-compactness of $\mathbb{R}$ with the cocountable topology
negative_passages.docid: 24050
negative_passages.text: Characterization of the Closure of a Set
negative_passages.docid: 62817
negative_passages.text: Functions which are Continuous, but not Bicontinuous
negative_passages.docid: 104257
negative_passages.text: $C^1$ functions on an open connected set and local Lipschitz continuity
negative_passages.docid: 64487
negative_passages.text: Continuous function and dense set
negative_passages.docid: 139337
negative_passages.text: Ultrafilter Lemma implies Compactness/Completeness of FOL
negative_passages.docid: 147331
negative_passages.text: Compactness and Hausdorffness
negative_passages.docid: 98609
negative_passages.text: Does pointwise equicontinuous and uniformly equicontinuous implies compactness?
negative_passages.docid: 54600
negative_passages.text: Is a convex and lower semicontinuous function defined on a closed and convex subset of $\mathbb{R}^n$ continuous?
negative_passages.docid: 55749
negative_passages.text: Compactly supported continuous function is uniformly continuous
negative_passages.docid: 33114
negative_passages.text: Uniqueness of a continuous extension of a function into a Hausdorff space
negative_passages.docid: 9406
negative_passages.text: Compactness of $(M, d)$ in terms of continuous functions $f:M\to \mathbb R$