quotient space [′kwō·shənt ‚spās] (mathematics) The topological spaceYwhich is the set of equivalence classes relative to some given equivalence relation on a given topological spaceX; the topology ofYis canonically constructed from that ofX. Also known as factor space. ...
The quotient space X/∼ of a topological space X and an equivalence relation ∼ on X is the set of equivalence classes of points in X (under the equivalence relation ∼) together with the following topology given to subsets of X/∼: a subset U of
If X and Y are topological spaces and if : X→Y is a surjection, then is called a quotient map (or identification map) if the topology in Y is exactly T ( ) ; that is, U is open in Y if and only if (iff) – 1 1 (U) is open in X . The space Y is called the ...
DefinitionLetXXbe a topological space, and letX∗X∗be a partition ofXXinto disjoint subsets whose union isXX. Letp:X→X∗p:X→X∗be the surjective map that carries each point ofXXto the element ofX∗X∗containing it. In the quotient topology induced bypp, the spaceX∗X∗...
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It is shown that an image X of a product of Lindelf Σ-spaces or of a countably compact (even countably protocompact) space Π under a continuous M-mapping... MG Tka?Enko - 《Topology & Its Applications》 被引量: 14发表: 1994年 On reflections and three space properties of semi(pa...
then,Ais an open set onY. Accordingly, the topology onYis called quotient topology with respect to mappingt(Xiong, 1981;You, 1997). Proposition 7.13 tis a quotient mapping from topologic space(X,T)to topologic spaceY.≡is an equivalence relation on[X]induced fromt.([X],[T])is a quoti...
quotient topology 【计】 商拓扑文献(pubmed) 赞助商链接以下为句子列表:英文: His intelligence quotient is very high.中文: 他的智商很高。英文: Biological Sequence Alignments Based on Quotient Space中文: 基于商空间理论的生物序列比较模型 英文: He got a small quotient of his father's property.中文:...
Mathematics Polish Academy of SciencesVL - 79IS - 2SP - 139EP - 149LA - engKW - order-topological properties of the quotient space of a - Dedekind complete and intervally complete locally solid Riesz space; ideal; Lebesgue topology; Fatou topology; AM-spaceUR - http://eudml.org/doc/...
quotient space 空间 emotion quotient (EQ) 情 emotion quotient (eq) 情 emotional quotient 情;情感数 difference quotient ,均;英语例句库 (4) ponderosity spends mental development arrearage: Intelligence quotient is in 20 the following, scarcer, occupy the 1% less than of mental development arrearage...