Subcategories of topological algebras. (English) Zbl 1424.18009
Summary: In addition to exploring constructions and properties of limits and colimits in categories of topological algebras, we study special subcategories of topological algebras and their properties. In particular, under certain conditions, reflective subcategories when paired with topological structures give rise to reflective subcategories and epireflective subcategories give rise to epireflective subcategories.
MSC:
| 18A40 | Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) |
| 54A05 | Topological spaces and generalizations (closure spaces, etc.) |
| 08A30 | Subalgebras, congruence relations |
| 08A60 | Unary algebras |
| 17A30 | Nonassociative algebras satisfying other identities |
| 08C05 | Categories of algebras |
| 18B99 | Special categories |
| 18D15 | Closed categories (closed monoidal and Cartesian closed categories, etc.) |
Keywords:
monotopolocial category; topological category; topological functors; universal algebra; topological algebra; reflective subcategory; coreflective subcategory; epireflective subcategoryReferences:
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