Benjamin Vejnar
Benjamin Vejnar: Complexity of some classes of metrizable compacta up to homeomorphism
25/02/21 11:07
Tuesday, March 2, 2021 17:00
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Benjamin Vejnar (Charles University, Prague)
Title: Complexity of some classes of metrizable compacta up to homeomorphism
Abstract: There is a general framework called Invariant Descriptive Set Theory (IDST) which can be used to measure the complexities of classification problems. We follow the framework IDST when studying the complexity of compact metrizable spaces, continua, absolute retracts, rim-finite continua, dendrites, or rim-finite compacta up to homeomorphism. Using the tools of IDST we show that there is no compact metrizable space such that every continuum is homeomorphic to exactly one component of this space. This can be used to answer a question by P. Minc.
Location: Zoom.us: if you want to participate please contact organizers
Speaker: Benjamin Vejnar (Charles University, Prague)
Title: Complexity of some classes of metrizable compacta up to homeomorphism
Abstract: There is a general framework called Invariant Descriptive Set Theory (IDST) which can be used to measure the complexities of classification problems. We follow the framework IDST when studying the complexity of compact metrizable spaces, continua, absolute retracts, rim-finite continua, dendrites, or rim-finite compacta up to homeomorphism. Using the tools of IDST we show that there is no compact metrizable space such that every continuum is homeomorphic to exactly one component of this space. This can be used to answer a question by P. Minc.