Scaled-free objects (Q416796)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Scaled-free objects |
scientific article; zbMATH DE number 6032711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Scaled-free objects |
scientific article; zbMATH DE number 6032711 |
Statements
Scaled-free objects (English)
0 references
10 May 2012
0 references
The author uses normed sets and associated categories to describe constructions of normed objects, which build from a set to a vector space to an algebra, and thus parallel the natural progression found in algebraic settings. Each of these is characterized as a left adjoint functor to a natural forgetful functor. Further, the universal property in each case yields a scaled-free mapping property, which extends previous notions of free objects.
0 references
Banach space
0 references
Banach algebra
0 references
adjoint functor
0 references
free construction
0 references
0.7701104
0 references
0 references
0 references
0.76817286
0 references
