Andrea Medini

Postdoctoral Researcher
Institut für Diskrete Mathematik und Geometrie
Technische Universität Wien
Wiedner Hauptstraße 8–10/104
1040 Vienna, Austria
e-mail: andrea.medini@tuwien.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

A complete classification of the zero-dimensional homogeneous spaces under determinacy, submitted

Countable spaces, realcompactness, and the pseudointersection number, with C. Agostini and L. Zdomskyy, submitted

Zero-dimensional σ-homogeneous spaces, with Z. Vidnyánszky, Ann. Pure Appl. Logic 175 (2024), 103331

Constructing Wadge classes, with R. Carroy and S. Müller, Bull. Symb. Log. 28:2 (2022), 207-257

On the scope of the Effros theorem, Fund. Math. 258:2 (2022), 211-223

Every zero-dimensional homogeneous space is strongly homogeneous under determinacy, with R. Carroy and S. Müller, J. Math. Logic 20:3 (2020), 2050015

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^ω, 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

Editorial work

In memory of Ken Kunen, with M. Džamonja, J. Hart and A. Villaveces, Notices Amer. Math. Soc. 69:10 (2022), 1758–1769

Special issue of Topology and its Applications (Kenneth Kunen), with M. Džamonja, M. Hrušák and I. Juhász, Topology Appl. 323 (2023)

Selected talks

Zero-dimensional σ-homogeneous spaces (video), given at the Workshop on Set-Theoretic Topology, Casa Matemática Oaxaca, August 4, 2023, Mexico

Zero-dimensional σ-homogeneous spaces, given at the 36th Summer Topology Conference, July 18, 2022, Vienna

Topological applications of Wadge theory, given at the Fields Institute Set Theory Seminar, November 20, 2020, Toronto

Topological applications of Wadge theory (tutorial), given at the Winter School in Abstract Analysis, section Set Theory and Topology, January 25-February 1, 2020, Hejnice, Czech Republic

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^ω, 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, University of Wisconsin, Madison