query: Linking the intuition of topology with its axiomatic definition
positive_passages.docid: 16667
positive_passages.text: How to get intuition in topology concerning the definitions?
negative_passages.docid: 45878
negative_passages.text: Elementary Set Theory: Ordinals, Well Orderings and Isomorphisms
negative_passages.docid: 55486
negative_passages.text: Topological proof to show a complement set of a set is polygonally connected
negative_passages.docid: 142840
negative_passages.text: Open axioms of equality
negative_passages.docid: 52388
negative_passages.text: The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
negative_passages.docid: 45623
negative_passages.text: Axiom of Choice: What exactly is a choice, and when and why is it needed?
negative_passages.docid: 102202
negative_passages.text: The smallest infinity and the axiom of choice
negative_passages.docid: 66239
negative_passages.text: Verifying that a certain collection of intervals of $\mathbb R$ forms a topology
negative_passages.docid: 77563
negative_passages.text: Homeomorphism between spaces equipped with cofinite topologies
negative_passages.docid: 60383
negative_passages.text: What is the intuition for the point-set topology definition of continuity?
negative_passages.docid: 152685
negative_passages.text: Parallel postulate from Playfair's axiom
negative_passages.docid: 42913
negative_passages.text: Equivalence of the definition of the Subbasis of a Topology
negative_passages.docid: 140168
negative_passages.text: What are the basis for co-countable and co-finite topologies
negative_passages.docid: 9705
negative_passages.text: Sensitivity to initial conditions and topological transitivity
negative_passages.docid: 136158
negative_passages.text: $X$ has Indiscrete topology $\implies$ any subset of $X$ is connected
negative_passages.docid: 16796
negative_passages.text: Zermelo-Fraenkel set theory and Hilbert's axioms for geometry
negative_passages.docid: 145981
negative_passages.text: Introductory book on Topology