query: Continuous function between two topological spaces: an ELEMENTARY property.
positive_passages.docid: 12490
positive_passages.text: A map is continuous if and only if for every set, the image of closure is contained in the closure of image
negative_passages.docid: 71001
negative_passages.text: Do continuous linear functions between Banach spaces extend?
negative_passages.docid: 153256
negative_passages.text: Compact topological space with closed graph implies continuity
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 2198
negative_passages.text: Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
negative_passages.docid: 12523
negative_passages.text: Supremum of a Continuous Function is Continuous
negative_passages.docid: 153952
negative_passages.text: A map between metric spaces preserving convergent sequences is continuous
negative_passages.docid: 58816
negative_passages.text: Existence of a continuous function which does not achieve a maximum.
negative_passages.docid: 117502
negative_passages.text: Proving that a certain continuous function is surjective.
negative_passages.docid: 90152
negative_passages.text: Continuous with compact support implies uniform continuity
negative_passages.docid: 158221
negative_passages.text: Prob. 4 (a), Sec. 20 in Munkres' Topology, 2nd ed: Are these functions continuous in the product, uniform, and box topologies?
negative_passages.docid: 40576
negative_passages.text: Intermediate value property problem and continuous function
negative_passages.docid: 135661
negative_passages.text: Weakly continuous operators are continuous
negative_passages.docid: 52388
negative_passages.text: The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
negative_passages.docid: 70645
negative_passages.text: Borel set preserved by continuous map
negative_passages.docid: 83461
negative_passages.text: Continuous iff composition with every linear functional is continuous
negative_passages.docid: 40208
negative_passages.text: Locally Constant Functions on Connected Spaces are Constant