Matches in DBpedia 2016-04 for { <http://wikidata.dbpedia.org/resource/Q1366002> ?p ?o }
Showing triples 1 to 37 of
37
with 100 triples per page.
- Q1366002 subject Q7217333.
- Q1366002 subject Q8521258.
- Q1366002 abstract "In mathematics, a path in a topological space X is a continuous function f from the unit interval I = [0,1] to Xf : I → X.The initial point of the path is f(0) and the terminal point is f(1). One often speaks of a "path from x to y" where x and y are the initial and terminal points of the path. Note that a path is not just a subset of X which "looks like" a curve, it also includes a parameterization. For example, the maps f(x) = x and g(x) = x2 represent two different paths from 0 to 1 on the real line.A loop in a space X based at x ∈ X is a path from x to x. A loop may be equally well regarded as a map f : I → X with f(0) = f(1) or as a continuous map from the unit circle S1 to Xf : S1 → X.This is because S1 may be regarded as a quotient of I under the identification 0 ∼ 1. The set of all loops in X forms a space called the loop space of X.A topological space for which there exists a path connecting any two points is said to be path-connected. Any space may be broken up into a set of path-connected components. The set of path-connected components of a space X is often denoted π0(X);.One can also define paths and loops in pointed spaces, which are important in homotopy theory. If X is a topological space with basepoint x0, then a path in X is one whose initial point is x0. Likewise, a loop in X is one that is based at x0.".
- Q1366002 thumbnail Path.svg?width=300.
- Q1366002 wikiPageWikiLink Q11210.
- Q1366002 wikiPageWikiLink Q1139111.
- Q1366002 wikiPageWikiLink Q1196038.
- Q1366002 wikiPageWikiLink Q1211071.
- Q1366002 wikiPageWikiLink Q130998.
- Q1366002 wikiPageWikiLink Q1340800.
- Q1366002 wikiPageWikiLink Q1419329.
- Q1366002 wikiPageWikiLink Q1491995.
- Q1366002 wikiPageWikiLink Q161973.
- Q1366002 wikiPageWikiLink Q164307.
- Q1366002 wikiPageWikiLink Q170058.
- Q1366002 wikiPageWikiLink Q177251.
- Q1366002 wikiPageWikiLink Q179899.
- Q1366002 wikiPageWikiLink Q189112.
- Q1366002 wikiPageWikiLink Q1948412.
- Q1366002 wikiPageWikiLink Q1987578.
- Q1366002 wikiPageWikiLink Q203425.
- Q1366002 wikiPageWikiLink Q2066070.
- Q1366002 wikiPageWikiLink Q212803.
- Q1366002 wikiPageWikiLink Q217413.
- Q1366002 wikiPageWikiLink Q372037.
- Q1366002 wikiPageWikiLink Q395.
- Q1366002 wikiPageWikiLink Q4558786.
- Q1366002 wikiPageWikiLink Q662830.
- Q1366002 wikiPageWikiLink Q719395.
- Q1366002 wikiPageWikiLink Q7217333.
- Q1366002 wikiPageWikiLink Q746083.
- Q1366002 wikiPageWikiLink Q782566.
- Q1366002 wikiPageWikiLink Q83478.
- Q1366002 wikiPageWikiLink Q8521258.
- Q1366002 comment "In mathematics, a path in a topological space X is a continuous function f from the unit interval I = [0,1] to Xf : I → X.The initial point of the path is f(0) and the terminal point is f(1). One often speaks of a "path from x to y" where x and y are the initial and terminal points of the path. Note that a path is not just a subset of X which "looks like" a curve, it also includes a parameterization.".
- Q1366002 label "Path (topology)".
- Q1366002 depiction Path.svg.
