| 单词 | groupoid |
| 释义 | BETA Examples ofgroupoidDictionary> Examples ofgroupoid groupoidisn’t in the Cambridge Dictionary yet. You can help! Add a definition The prototypical example of agroupoidthat is not a group is the 'path space'groupoid. From theCambridge English Corpus The shortest way to definegroupoidis to say it means a small category with inverses. From theCambridge English Corpus The second is a closed set called the isotropy bundle, and it will be proved to be a continuousgroupoid. From theCambridge English Corpus Note that the definition of thegroupoidof a polymorphism given in [1] is not correct and should be replaced by this one. From theCambridge English Corpus This follows from a similar fact for the right action of agroupoidon itself. From theCambridge English Corpus We endow it with a topology that makes it an r -discretegroupoid. From theCambridge English Corpus The conditions of the theorem are needed to guarantee that thisgroupoidhas the necessary structure. From theCambridge English Corpus Definition 2.2 is easily extended from group actions togroupoidactions. From theCambridge English Corpus The reader is invited to check that the map is agroupoidmorphism. From theCambridge English Corpus A localgroupoidis weakly enlargeable if and only if the partial product law is generally associative. From theCambridge English Corpus On the basis of these two definitions, we introduce the notion of propergroupoid. From theCambridge English Corpus Crossed products bygroupoidactions and their smooth flows of weights. From theCambridge English Corpus We may assume that this neighbourhood is invariant for the actiongroupoid. From theCambridge English Corpus Any group is agroupoidwhere the set of its units is reduced to a singleton and vice versa. From theCambridge English Corpus Since we are only interested in properties up to null sets, we freely replace a measuredgroupoidby any of its inessential reductions, if necessary. From theCambridge English Corpus The action is clearly free (because the action of agroupoidon itself is free). From theCambridge English Corpus If thegroupoidis furnished with a topology for which thegroupoidoperations are continuous then is called a topologicalgroupoid. From theCambridge English Corpus We begin by stating agroupoidequivalence result that will be useful in both cases. From theCambridge English Corpus These automorphisms respect the structure maps of thegroupoid. From theCambridge English Corpus In agroupoidsuch a notion can be defined between different start and end points provided the path can be 'retraced' or 'reverted'. From theCambridge English Corpus These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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