| 单词 | topological space |
| 释义 | topological space (extremely rare) n WORD FAMILY topological space USAGE EXAMPLESBritannica defines the Klein bottle thus:Topological space, named for the German mathematician Felix Klein. The Guardian(Jul 19, 2012) n (mathematics) any set of points that satisfy a set of postulates of some kind assume that the topological space is finite dimensional Syn|Hypo|Hyper mathematical space subspace a space that is contained within another space null spacea space that contains no points; and empty space manifolda set of points such as those of a closed surface or an analogue in three or more dimensions metric spacea set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality Euclidean spacea space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional Hilbert spacea metric space that is linear and complete and (usually) infinite-dimensional infinite, space the unlimited expanse in which everything is located set(mathematics) an abstract collection of numbers or symbols |
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