Date:
Wed, 20/05/202012:00-14:00
Location:
Zoom: Meeting ID: 928 6821 1553 Password: 829281
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.
.
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.