Logic Seminar - Hind Abu Saleh "Reducts of the Real Ordered Field and Strongly Bounded Structures"

Hind Abu Saleh will speal about reducts of the real ordered field and strongly bounded structures.
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Title: Reducts of the Real Ordered Field and Strongly Bounded Structures

Abstract: Let N =〈 A ;<,.. 〉 be an o-minimal structure and let A =〈 A ;.. 〉 be a reduct of N . The structure A is called strongly bounded if every A -definable subset of A is either bounded or co-bounded. In this talk we examine additive strongly bounded structures over R and as a corollary we identify all possible reducts of 〈 R ;+, ⋅ ,< 〉 , which expand the vector space
 〈 R ;+,{ λ_α }_(α in R) 〉 , where λ_α denotes the linear map αx ↤ x.

Date: 

Wed, 20/05/2020 - 12:00 to 14:00

Location: 

Zoom: Meeting ID: 928 6821 1553 Password: 829281