FAITHFULNESS VS. TOPOLOGICITY

Autor: T. Titcomb, G. E. Strecker
Rok vydání: 1983
Předmět:
Zdroj: Quaestiones Mathematicae. 6:255-264
ISSN: 1727-933X
1607-3606
DOI: 10.1080/16073606.1983.9632303
Popis: The fact that faithful functors are intimately connected with functors of topological type has been known for scene time. Here, we make the connection precise by introducing the notion of relatively topological functors, and characterize faithful functors as precisely those that are topological relative to a certain “natural” family of sources. Some other standard functor properties are also shown to have relative topological descriptions.
Databáze: OpenAIRE