query: continuous function on compact set, can be approximated by polynomial
positive_passages.docid: 16228
positive_passages.text: Show that there is sequence of homeomorphism polynomials on [0,1] that converge uniformly to homeomorphism
negative_passages.docid: 18222
negative_passages.text: Set of continuity points of a real function
negative_passages.docid: 48246
negative_passages.text: Approximation of Riemann integrable function with a continuous function
negative_passages.docid: 51156
negative_passages.text: Function is Continuous When Restricted to Closed Sets Which Cover the Space
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: 55268
negative_passages.text: Differentiable and Continuous functions on [0,1] with 'weird' conditions.
negative_passages.docid: 136594
negative_passages.text: Proving the existence of a sequence of polynomials convergent to a continuous function $f$.
negative_passages.docid: 39076
negative_passages.text: Contraction of compact sets
negative_passages.docid: 102048
negative_passages.text: Closure of a compact set in Regular space $ X $
negative_passages.docid: 128069
negative_passages.text: Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
negative_passages.docid: 61122
negative_passages.text: A continuous mapping is determined by its values on a dense set
negative_passages.docid: 47810
negative_passages.text: $C(X)$ is separable when $X$ is compact?
negative_passages.docid: 70645
negative_passages.text: Borel set preserved by continuous map
negative_passages.docid: 40297
negative_passages.text: Proof of uniform limit of Continuous Functions
negative_passages.docid: 106256
negative_passages.text: Continuous mapping on a compact metric space is uniformly continuous
negative_passages.docid: 41690
negative_passages.text: Products of Continuous functions: Topology
negative_passages.docid: 65346
negative_passages.text: Characterisation of uniformly continuous function