Free uniformly complete vector lattices

Eduard Emelyanov,Svetlana Gorokhova

Free uniformly complete vector lattices

2021

Eduard Emelyanov
Svetlana Gorokhova

We define a free uniformly complete vector lattice over a set of generators and give its concrete representation as the space of continuous positively homogeneous functions.

Keywords:

Pure mathematics
Lattice (order)
Homogeneous function
Space (mathematics)
Mathematics
Representation (mathematics)
Set (abstract data type)

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