Place: Fields Institute (Room 210)
Date: March 22, 2019 (13:3015:00)
Speaker: Antonio Aviles
Title: Twisted sums of spaces of continuous functions
Abstract: Given two Banach spaces $Z$ and $X$, can we find a Banach space $Y$ that contains $X$ as an uncomplemented subspace and $Y/X = Z$? We will mention two instances of this problem connected to set theoretic questions. When $X = c_0$ and $Z=C(K)$ is a space of continuous functions on a nonmetric compactum, the answer may be negative under $MA_{\omega_1}$ but it is always positive under CH (joint work with W. Marciszewski and G. Plebanek). When $X = \ell_\infty/c_0$ and $Z=c_0(\mathfrak{c})$, the answer is positive provided splitting chains exist in $\mathcal{P}(\omega)/fin$ (joint work with P. BorodulinNadzieja, F. Cabello, D. Chodounsk\'{y} and O. Guzm\'{a}n)
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 May 13: 50 Years of Set Theory in Toronto, Fields institute, May 1317, 2019
 May 30: Logic Fest in the Windy City, Chicago, May 30 – June 2, 2019
 June 19: Boise Extravaganza in Set Theory (BEST) 2019 Conference
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 July 1: 7th European Set Theory Conference, Vienna, July 15, 2019
 July 8: Berkeley conference on inner model theory, July 08–19, 2019
 July 29: Set Theory: Bridging Mathematics and Philosophy, Konstanz, July 2931, 2019
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 Barcelona Set Theory Seminar (RSS)
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Talks by speaker
Alan Dow Alekos Kechris Aleksander Cieślak Aleksandra Kwiatkowska Alessandro Vignati Alexei Kolesnikov Andre Nies Andreas Blass Andrés Caicedo Andrés Villaveces Andrew BrookeTaylor Andrew Marks Andy Zucker Antonio Avilés Anush Tserunyan Ari Brodsky Arthur Apter Arturo Antonio Martinez Asaf Karagila Asger Tornquist Ashutosh Kumar Assaf Hasson Assaf Rinot Barnabas Farkas Benjamin Miller Bill Chen Bill Mitchell Boban Velickovic Borisa Kuzeljevic Brent Cody Burak Kaya Carlos Di Prisco Carlos MartinezRanero Chris Eagle Chris LambieHanson Christina Brech Clinton Conley Daisuke Ikegami Damian Sobota Dana Bartošová Daniel Rodriguez Daniel Soukup David Aspero David Chodounsky David J. Fernández Bretón David Marker David Milovich David Schrittesser Diana Carolina Montoya Diana Ojeda Diego Alejandro Mejia Dikran Dikranjan Dilip Raghavan Dima Sinapova Dimitrios Vlitas Egbert Thümmel Erez Shochat Erin Carmody François Dorais Frank Stephan Franklin Tall Fulgencio Lopez Garrett Ervin Giorgio Laguzzi Gregory Cherlin Grigor Sargsyan Grzegorz Plebanek Gunter Fuchs Heike Mildenberger Hiroshi Sakai Hugh Woodin Ilijas Farah Ioannis Souldatos Isaac Goldbring István Juhász Itay Neeman James Cummings Jan Grebík Jan van Mill Jay Williams Jean Larson Jindra Zapletal Jing Zhang Joan Bagaria Joel David Hamkins John Baldwin John Clemens John Krueger John Steel Jonathan Verner Jordi LopezAbad Jörg Brendle Jose Iovino Jouko Väänänen Julien Melleray Juliette Kennedy Juris Steprans Justin Moore K. P. Hart Konstantinos Tyros Lajos Soukup Laura Fontanella Liuzhen Wu Luca Motto Ros Luz María García Ávila Lynn Scow Lyubomyr Zdomskyy Marcin Michalski Marcin Sabok Marion Scheepers Martin Goldstern Martin Zeman Martino Lupini Maryanthe Malliaris Matteo Viale Matthew D. Foreman Melvin Fitting Menachem Kojman Menachem Magidor Merlin Carl Michael Hrusak Michal Doucha Miguel Angel Mota Miguel Moreno Miha Habic Mikhail Tkachenko Mirna Džamonja Miyamoto Tadatoshi Monroe Eskew Moti Gitik Nadav Meir Nam Trang Natasha Dobrinen Omer Ben Neria Omer Mermelstein Osvaldo Guzman Osvaldo Guzmán González Paul Larson Paul McKenney Peng Yinhe Peter Holy Peter Koellner Peter Koepke Peter Komjath Peter Krautzberger Petr Simon Philip Welch Philipp Lücke Philipp Schlicht Piotr BorodulinNadzieja Piotr Koszmider Radek Honzik Ralf Schindler Randall Holmes Rick Statman Robert Ralowski Robin TuckerDrob Rodrigo R. Dias Roman Kossak Russell Miller Saharon Shelah Sakaé Fuchino Samuel Coskey Sandra Müller Šárka Stejskalová Scott Cramer Scott Schneider Sean Cox Sebastien Vasey Sergei Artemov Shehzad Ahmed Simon Thomas Slawomir Solecki Spencer Unger Stefan Geschke Stevo Todorcevic Su Gao Sy David Friedman Szymon Zeberski Taras Banakh Teruyuki Yorioka Thilo Weinert Todd Eisworth Todor Tsankov Toshimichi Usuba Trevor Wilson Tristan Bice Uri Abraham Vera Fischer Victor Torres Perez Victoria Gitman Vincenzo Dimonte Wieslaw Kubis Will Boney Wojciech Stadnicki Wolfgang Wohofsky Yair Hayut Yizheng Zhu Yurii Khomskii Zoltán VidnyánszkyCategories
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