Extensions of Structures and Full Embeddings of Categories
نویسنده
چکیده
The objects of study of mathematics are often sets with some additional information. E. g. for a group the additional information is the binary operation, for a topological space the family of open sets, for a graph the set of its edges. Equivalences and mutual relations between objects are studied by means of a special class of mappings which is chosen according to the pourpose of the study. The choice of the mappings usually depends on the additional information about the objects. Frequently used choices are e. g. isomorphisms or homomorphisms for groups, continuous mappings, open mappings or homeomorphisms for topological spaces, isomorphisms or compatible mappings for graphs.
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