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Description: |
In this talk we develop the analog for truncated archimedean lattice-ordered groups, hereafter referred to as truncs, of Madden's pointfree representation for W, the category of archimedean l- groups with designated weak order unit.
In the first part of the talk we will motivate the notion of truncation with a few sketches, review its definition, and outline the pointed, or Yosida representation of truncs. We shall point out the necessity of using pointed spaces and maps in order to render the representation functorial.
In the second part of the talk we will discuss the main result, which is the pointfree representation of truncs.
If time permits we shall briefly discuss several beckoning directions for extending the rich theory of W to truncs. Examples include uniform approximation and completion, and the characterization of epimorphisms.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Richard N. Ball (Univ. Denver, USA)
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Institution: |
Univ. Denver, USA
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| Research Groups: |
-Algebra, Logic and Topology
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See more:
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<Main>
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