# Andrea Medini

Postdoctoral Researcher
Kurt Gödel Research Center
University of Vienna
Währinger Straße 25
1090 Vienna, Austria
e-mail: andrea.medini@univie.ac.at
Research interests: general topology, set theory

Curriculum vitae

The topology of ultrafilters as subspaces of the Cantor set and other topics, Ph.D. thesis, written under the supervision of K. Kunen

## Publications

Every zero-dimensional homogeneous space is strongly homogeneous under determinacy, with R. Carroy and S. Müller (submitted)

On Borel semifilters, Topology Proc. 53 (2019), 97-122

Infinite powers and Cohen reals, with J. van Mill and L. Zdomskyy, Canad. Math. Bull. 61:4 (2018), 812-821

Productively Lindelöf spaces of countable tightness, with L. Zdomskyy, Houston J. Math. 43:4 (2017), 1263-1272

Non-meager free sets and independent families, with D. Repovš and L. Zdomskyy, Proc. Am. Math. Soc. 145:9 (2017), 4061-4073

Every filter is homeomorphic to its square, with L. Zdomskyy, Bull. Pol. Acad. Sci., Math. 64:1 (2016), 63-67

A homogeneous space whose complement is rigid, with J. van Mill and L. Zdomskyy, Israel J. Math. 214:2 (2016), 583-595

Distinguishing perfect set properties in separable metrizable spaces, J. Symb. Log. 81:1 (2016), 166-180

Seven characterizations of non-meager P-filters, with K. Kunen and L. Zdomskyy, Fund. Math. 231:2 (2015), 189-208

Countable dense homogeneity in powers of zero-dimensional definable spaces, Canad. Math. Bull. 58:2 (2015), 334-349

Between Polish and completely Baire, with L. Zdomskyy, Arch. for Math. Logic 54:1-2 (2015), 231-245

Products and countable dense homogeneity, Topology Proc. 46 (2015), 135-143

The topology of ultrafilters as subspaces of $2^\omega$, with D. Milovich, Topology Appl. 159:5 (2012), 1318-1333

Products and h-homogeneity, Topology Appl. 158:18 (2011), 2520-2527

A non-CLP-compact product space whose finite subproducts are CLP-compact, Topology Appl. 157:18 (2010), 2829-2833

## Selected talks

Homogeneous spaces and Wadge theory (semi-plenary talk), given at the 33rd Summer Conference on Topology and its Applications, July 17-20, 2018, Bowling Green, Kentucky

Almost every homogeneous Borel space is a semifilter, given at the 31th Summer Conference on Topology and its Applications, August 2-5, 2016, Leicester, United Kingdom

Topological homogeneity and infinite powers (semi-plenary talk), given at the 30th Summer Conference on Topology and its Applications, June 23-26, 2015, Galway, Ireland

Dropping Polishness, given at Sets and Computations, session on Set Theory, March 30-April 10, 2015, Institute for Mathematical Sciences, National University of Singapore

Seven characterizations of non-meager P-filters, given at the 48th Spring Topology and Dynamics Conference, March 13-15, 2014, University of Richmond

Countable dense homogeneity and set theory, given at the AMS Sectional Meeting, session on Set Theory and Boolean Algebras, April 13-14, 2013, University of Colorado, Boulder

Clopen sets in products: CLP-compactness and h-homogeneity, given at Auburn University, March 2, 2012

The topology of ultrafilters as subspaces of $2^\omega$, given at the AMS Sectional Meeting, session on Set Theory, September 10-11, 2011, Cornell University

Products and h-homogeneity, given at the International Conference on Topology and its Applications, June 26-30, 2010, Nafpaktos, Greece

Van Douwen's problem on the cellularity of compact homogeneous spaces
, specialty exam, given at the Southern Wisconsin Logic Colloquium

Elementary submodels of the universe, a very basic introduction, given at the late Graduate Participation Seminar in Logic