Sentence examples for category of groups from inspiring English sources
The category of topological groups has limits and limits commute with the forgetful functors to (a) the category of topological spaces and (b) the category of groups.
Thus people began to study what is now called the concrete category of groups, whose objects are groups and whose arrows are homomorphisms.
Geometrical conventions are apparent hypotheses guided by the experience of muscular sensations and involve the category of groups.
The simplicial algebras that give rise to 2-crossed complexes would seem to be 2-hypergroupoids internal to the category of groups, or a slight variant of such things.
The principle of "preserving structures"—a recurring topic in mathematics throughout is an instance of working in a category, in this case the category of groups.
For Senate Democrats, the major takeaway from the current IRS scandal is that clearer rules need to be written, not just so that officials no longer target one category of groups for screening but also so that groups that are cleared for tax-exempt status aren't de facto campaign entities.
Furthermore, in geometry we presuppose the category of group, so geometry requires a double conventional abstraction.
Crucially, focus groups are distinguished from the broader category of group interviews by the explicit use of the group interaction as research data [13].
In the last category of grouping methods, component groups are defined on the basis of EOS calculations performed on the original unlumped fluid descriptions (Mehra and Heidmann 1982; Li et al. 1985; Newley and Merill 1991).
Some purists might put Siasto in the category of "group task manager" rather than "project manager," as Siasto doesn't offer time or bug tracking, resource management, etc. — features offered by specific point solutions or more enterprise-y, robust biz software.
Various examples are considered in the categories of groups, compact groups, internal groupoids in a semi-abelian category, and other ones.
