query: Continuity and Compactness, Is this mapping onto? (Rudin)
positive_passages.docid: 20377
positive_passages.text: Example 4.21 in Baby Rudin: Why is the inverse of this function not continuous at this point?
negative_passages.docid: 73469
negative_passages.text: Continuity of the function $x\mapsto d(x,A)$ on a metric space
negative_passages.docid: 26794
negative_passages.text: Metrizability of Hausdorff continuous image of compact metric space
negative_passages.docid: 9320
negative_passages.text: Extension of continuous function on a closed subset of $\mathbb{R}$
negative_passages.docid: 61122
negative_passages.text: A continuous mapping is determined by its values on a dense set
negative_passages.docid: 143467
negative_passages.text: Continuous maps between compact manifolds are homotopic to smooth ones
negative_passages.docid: 127114
negative_passages.text: Differentiability implying continuity
negative_passages.docid: 51247
negative_passages.text: $f$ be a continuous function maps Cauchy into Cauchy. Is $f$ uniformly continuous?
negative_passages.docid: 36149
negative_passages.text: A uniformly continuous function maps bounded set to bounded sets
negative_passages.docid: 155618
negative_passages.text: Slightly changing the formal definition of continuity of $f: \mathbb{R} \to \mathbb{R}$?
negative_passages.docid: 141366
negative_passages.text: Absolutely continuity and Lipschitz-like continuity
negative_passages.docid: 102315
negative_passages.text: difference of uniform continuity and continuity of map
negative_passages.docid: 43874
negative_passages.text: Differentiability implies continuity - A question about the proof
negative_passages.docid: 19566
negative_passages.text: Continuous images of compact sets are compact
negative_passages.docid: 76351
negative_passages.text: Equivalence of continuity definitions
negative_passages.docid: 90152
negative_passages.text: Continuous with compact support implies uniform continuity
negative_passages.docid: 45252
negative_passages.text: "Every linear mapping on a finite dimensional space is continuous"