Please view the posters presented at the 19th Annual City Tech Faculty and Student Research Poster Session below. You can click on each poster to enlarge it and view the PDF version under the poster abstract.
We thank all presenters for sharing their innovative and informative research with the City Tech community and beyond!
34-The Theory of Compact Spaces
While topological spaces can be very ‘wild’, compactness introduces enough amount of finiteness to guarantee a much ‘tamer’ behavior. We would therefore expect that the class of all compact spaces would have a nicer model-theoretic description, and this is indeed the case. It turns out that we can recover the topology on each space just from the properties of the entire structure/category (the class of all compact spaces and the continuous maps between them), as I will explain in this poster. In particular, each structure/category contains a model of Peano Arithmetic, that is to say, it has its own version of the natural numbers. View or download a PDF version of this poster.
