By Year By Month By Week Today Search Jump to month January February March April May June July August September October November December 2018 2019 2020 2021 2022 2023 2024 2025 2026
Seminario teoría de grupos UAM-ICMAT

Seminario Teoría de grupos UAM-ICMAT

Jueves, 17 de Mayo, Aula 520 (UAM), 15:00

Ponente: Sam Corson (UPV/EHU)

Título: The price of freedom

Abstract:  "The axiom of choice has been a useful tool in understanding uncountable groups.  It is used in producing nonconstructive homomorphisms, selecting Hamel bases, and determining the freeness of certain groups.  We explore algebraic consequences that  hold under an alternative to this axiom. Certain algebraic structures will lack freeness.  These include some subgroups of the Baer-Specker group $mathbb{Z}^{omega}$ and of the Hawaiian earring group.  Selection of bases for certain vector spaces is also impossible.  Applications to slenderness, completely metrizable topological groups, length functions and strongly bounded groups will also be discussed.

The work presented is joint with Saharon Shelah.

Location Jueves, 17 de Mayo, Aula 520 (UAM), 15:00