Elementary equivalences and accessible functors

• Autoři: BEKE Tibor; ROSICKÝ Jiří
• Rok publikování: 2018
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Annals of Pure and Applied Logic
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: http://dx.doi.org/10.1016/j.apal.2018.03.004
• Doi: https://doi.org/10.1016/j.apal.2018.03.004
• Klíčová slova: accessible categories; elementary equivalences; Lefschetz principle
• Popis: We introduce the notion of lambda-equivalence and lambda-embeddings of objects in suitable categories. We recover and extend results of Feferman and Eklof on local functors without fixing a language in advance. This is convenient for formalizing Lefschetz's principle in algebraic geometry, which was one of the main applications of the work of Eklof.

Související projekty

• Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku