Original scientific paper
https://doi.org/10.21857/mzvkptxze9
On the quotient shapes of vectorial spaces
Nikica Uglešić
; Veli Råt, Dugi Otok, Hrvatska
Abstract
The quotient shapes of vectorial spaces are considered - algebraically and topologically, especially, of the normed spaces. In the algebraic case, all the shape classifications and the isomorphism classification coincide. However, in the general topological case and, especially, in the normed case, the quotient shape classifications are strictly coarser than the isomorphism classification.
Keywords
Concrete category; (quotient) shape; (topological, normed) vectorial space; (continuous) linear function; quotient (topological, normed) vectorial space; dimension; infinite cardinal
Hrčak ID:
186437
URI
Publication date:
13.9.2017.
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