Add to ORKGAbstract. We introduce µ-Abstract Elementary Classes (µ-AECs) as a broad framework for model theory that includes complete boolean algebras and Dirich-let series, and begin to develop their classification theory. Moreover, we note that µ-AECs correspond precisely to accessible categories in which all morphisms are monomorphisms, and begin the process of reconciling these divergent per-spectives: not least, the preliminary classification-theoretic results for µ-AECs transfer directly to accessible categories with monomorphisms. 1
AbstractWe investigate properties of accessible categories with directed colimits and their relation...
AbstractMancosu, P., Generalizing classical and effective model theory in theories of operations and...
Irene Taylor. ii ACKNOWLEDGEMENTS I would like to express my gratitude to my advisor, Professor Andr...
We introduce µ-Abstract Elementary Classes (µ-AECs) as a broad framework for model theory that inclu...
AbstractWe highlight connections between accessible categories and abstract elementary classes (AECs...
We show that the concept of an Abstract Elementary Class (AEC) provides a unifying notion for severa...
We consider the behavior of Galois types in abstract elementary classes (AECs), and introduce severa...
In this paper some of the basics of classification theory for abstract elementary classes are discus...
Abstract. We show that the category of abstract elementary classes (AECs) and concrete functors is c...
We work in the context of an abstract elementary class (AEC) with the amalgamation and joint embeddi...
Definable additive categories and their model theory are the topic of this paper. We begin with bac...
Modern model theory began with Morley's categoricity theorem: A countable first-order theory that ha...
grantor: University of TorontoIn this thesis we explore some uncharted areas of the theory...
Abstract. We prove that from categoricity in λ+ we can get categoric-ity in all cardinals ≥ λ+ in a ...
AbstractThe results in this paper are in a context of abstract elementary classes identified by Shel...
AbstractWe investigate properties of accessible categories with directed colimits and their relation...
AbstractMancosu, P., Generalizing classical and effective model theory in theories of operations and...
Irene Taylor. ii ACKNOWLEDGEMENTS I would like to express my gratitude to my advisor, Professor Andr...
We introduce µ-Abstract Elementary Classes (µ-AECs) as a broad framework for model theory that inclu...
AbstractWe highlight connections between accessible categories and abstract elementary classes (AECs...
We show that the concept of an Abstract Elementary Class (AEC) provides a unifying notion for severa...
We consider the behavior of Galois types in abstract elementary classes (AECs), and introduce severa...
In this paper some of the basics of classification theory for abstract elementary classes are discus...
Abstract. We show that the category of abstract elementary classes (AECs) and concrete functors is c...
We work in the context of an abstract elementary class (AEC) with the amalgamation and joint embeddi...
Definable additive categories and their model theory are the topic of this paper. We begin with bac...
Modern model theory began with Morley's categoricity theorem: A countable first-order theory that ha...
grantor: University of TorontoIn this thesis we explore some uncharted areas of the theory...
Abstract. We prove that from categoricity in λ+ we can get categoric-ity in all cardinals ≥ λ+ in a ...
AbstractThe results in this paper are in a context of abstract elementary classes identified by Shel...
AbstractWe investigate properties of accessible categories with directed colimits and their relation...
AbstractMancosu, P., Generalizing classical and effective model theory in theories of operations and...
Irene Taylor. ii ACKNOWLEDGEMENTS I would like to express my gratitude to my advisor, Professor Andr...