Add to ORKGWe investigate minimal rst-order structures and consider interpretability and denability of orderings on them. We also prove the minimality of their canonical substructures
AbstractWe say that a linear ordering L is extendible if every partial ordering that does not embed ...
Let R be an o-minimal expansion of an ordered group (R,0,1,+,<) with distinguished positive element ...
In [5] E. Hrushovski proved the following theorem: Theorem 0.1 (Hrushovski’s New Strongly Minimal Se...
A b s t r a c t. We investigate minimal first-order structures and consider interpretability and def...
Abstract. We partially describe minimal, first-order structures which have a strong form of the stri...
AbstractWe prove a dichotomy theorem for minimal structures and use it to prove that the number of n...
Abstract. An infinite first-order structure is minimal if its each definable subset is either finite...
We give an example of two ordered structures M, N in the same language L with the same universe, the...
An infinite structure $M $ is minimal if every definable subset (using param-eters in $M$) is finite...
@0 -categorical o-minimal structures were completely described in [4], and are essentially built up ...
Abstractℵ0-categorical o-minimal structures were completely described by Pillay and Steinhorn (Trans...
AbstractWe prove a dichotomy theorem for minimal structures and use it to prove that the number of n...
AbstractWe consider McCarthy's notions of predicate circumscription and formula circumscription. We ...
Let R be an o-minimal expansion of an ordered group (R,0,1,+,<) with distinguished positive element ...
There are three main parts to this thesis, all centred around ultraproducts of o-minimal structures....
AbstractWe say that a linear ordering L is extendible if every partial ordering that does not embed ...
Let R be an o-minimal expansion of an ordered group (R,0,1,+,<) with distinguished positive element ...
In [5] E. Hrushovski proved the following theorem: Theorem 0.1 (Hrushovski’s New Strongly Minimal Se...
A b s t r a c t. We investigate minimal first-order structures and consider interpretability and def...
Abstract. We partially describe minimal, first-order structures which have a strong form of the stri...
AbstractWe prove a dichotomy theorem for minimal structures and use it to prove that the number of n...
Abstract. An infinite first-order structure is minimal if its each definable subset is either finite...
We give an example of two ordered structures M, N in the same language L with the same universe, the...
An infinite structure $M $ is minimal if every definable subset (using param-eters in $M$) is finite...
@0 -categorical o-minimal structures were completely described in [4], and are essentially built up ...
Abstractℵ0-categorical o-minimal structures were completely described by Pillay and Steinhorn (Trans...
AbstractWe prove a dichotomy theorem for minimal structures and use it to prove that the number of n...
AbstractWe consider McCarthy's notions of predicate circumscription and formula circumscription. We ...
Let R be an o-minimal expansion of an ordered group (R,0,1,+,<) with distinguished positive element ...
There are three main parts to this thesis, all centred around ultraproducts of o-minimal structures....
AbstractWe say that a linear ordering L is extendible if every partial ordering that does not embed ...
Let R be an o-minimal expansion of an ordered group (R,0,1,+,<) with distinguished positive element ...
In [5] E. Hrushovski proved the following theorem: Theorem 0.1 (Hrushovski’s New Strongly Minimal Se...