# Andrea Medini

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

Curriculum vitae

Research description

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 filter is homeomorphic to its square, with L. Zdomskyy (submitted)

On Borel semifilters (submitted)

Non-meager free sets and independent families, with D. Repovš and L. Zdomskyy (submitted)

A homogeneous space whose complement is rigid, with J. van Mill and L. Zdomskyy (accepted in Israel J. Math.)

Productively Lindelöf spaces of countable tightness, with L. Zdomskyy (accepted in Houston J. Math.)

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, Top. 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

## Invited talks

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

Topological homogeneity and infinite powers, given at the Technische Universität Wien, March 25, 2015

Dropping Polishness, given at the Logic Seminar, March 6, 2015, University of Turin

Dropping Polishness, given at the 29th Summer Conference on Topology and its Applications, July 23-26, 2014, City University of New York

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

The topology of ultrafilters as subspaces of $2^\omega$, given at the ASL North American Annual Meeting, session on Set Theory, March 31-April 3, 2012, University of Wisconsin - Madison

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

## Selected contributed talks

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