## and its Relations to Modern Analysis and Algebra

was held on July 25–29, 2016 in Prague, Czech Republic under the auspices of the Institute of Mathematics of the Czech Academy of Sciences and the Faculty of Mathematics and Physics of the Charles University.

### Scientific committee

• Bohuslav Balcar (Institute of Mathematics of the Czech Academy of Sciences)
• Christina Brech (Departamento de Matemática, Universidade de São Paulo)
• K. P. Hart (Department of Mathematics, Delft University of Technology)
• Logan Hoehn (Department of Computer Science and Mathematics, Nipissing University)
• Petr Simon (Faculty of Mathematics and Physics, Charles University in Prague)
• Todor Tsankov (Institut de Mathématiques de Jussieu, Université Paris Diderot)
• Lyubomyr Zdomskyy (Kurt Gödel Research Center, University of Vienna)

### Organizing committee

• David Chodounský (Institute of Mathematics of the Czech Academy of Sciences)
• Jan Starý (Department of Mathematics, Czech Technical University)
• Benjamin Vejnar (Faculty of Mathematics and Physics, Charles University in Prague)

### List of participants

 Alster On the class of all spaces whose product with every paracompact space is paracompact abstract Antonyan Hyperspaces of Euclidean spaces in the Gromov–Hausdorff metric abstract slides Anušić Planar embeddings of unimodal inverse limit spaces abstract slides Arkhangelskii Topological Groups, Coset Spaces, and their Remainders abstract slides Aurichi An internal characterization for productively Lindelöf spaces abstract slides Außenhofer On quasi-convex null sequences abstract slides Baladze On cohomological properties of remainders abstract slides Banakh $\mathfrak G$-Bases in free objects of Topological Algebra abstract slides Bartosova On a problem of Ellis and Pestov's conjecture abstract slides Bartoš Tree sums and maximal connected I-spaces abstract slides Bartsch On hyperstructures in topological categories abstract slides Bergfalk Cohomology of Ordinals abstract Beridze Strong shape and homology of continuous maps abstract slides Booth Near-rings of Continuous Functions and Primeness abstract slides Brian Quotients of the shift map (for frogs) abstract slides Bukovsky Arhangelskii's alpha properties of $C_p(X)$ and covering properties of $X$ abstract slides Calderoni Universality of embeddability between groups abstract slides Carlson A cardinality bound for Hausdorff spaces abstract slides Castellano Topological and algebraic entropy for locally linearly compact vector spaces abstract slides Chacon-Tirado The hyperspace of large order arcs abstract slides Chekeev The ultrafilteres on a zero-sets of uniformly continuous functions and completeness by them abstract slides Cinc Extendability of the shift homeomorphism of some planar embeddings of unimodal inverse limit spaces abstract slides Cooper Homology of Generalized Generalized Configuration Spaces abstract slides Cuth Separable determination in Asplund spaces abstract slides Das Ideal quasi-normal convergence and related notions abstract slides Dikranjan The Zariski topology of a group abstract slides Dimov A generalization of the Stone Duality Theorem abstract slides Dobrinen Topological Ramsey spaces in creature forcing abstract slides Dolecki Completeness of products abstract Doucha Generic norms and metrics on countable abelian groups abstract slides Dow PFA(S) implies there are many S-names abstract slides Fischer Cotorsion-free groups from a topological viewpoint abstract slides Garcia-Ferreira Cardinality of the Ellis semigroup on compact countable metrizable spaces abstract slides Georgiou ${\mathcal I}$-convergence classes abstract slides Geschke Lifting homeomorphisms from separable quotients of $\omega^*$ abstract slides Gigoń Congruence-free compact semigroups abstract slides Giordano Bruno Topological entropy on totally disconnected locally compact groups abstract slides Greenwood Connectedness and generalised inverse limits abstract slides Gutierres $g$-second countable spaces and the Axiom of Choice abstract slides Hart Compact spaces with a $\mathbb P$-diagonal abstract slides Hernandez Interpolation sets in spaces of continuous functions abstract slides Hrušák Weak diamonds and topology abstract slides Illanes Continuous Neighborhoods in a Product abstract slides Jasinski Fixed point theorems for maps with various local contraction properties abstract slides Junnila On productively paracompact spaces abstract slides Kalenda Measuring noncompactness and discontinuity abstract slides Karlova Baire one functions depending on finitely many coordinates abstract slides Kato On dimension of inverse limits with set-valued functions abstract slides Kechris Descriptive Graph Combinatorics abstract slides Kiss Random elements of large groups – Continuous case abstract slides Kitover Essential spectra of weighted composition operators on $C(K)$. abstract slides Koszmider Noncommutative scattered locally compact spaces abstract Koutsogiannis On the convergence of multiple correlation sequences with integer part polynomial iterates abstract Kozlov Homogeneous spaces as coset spaces of groups from special classes abstract slides Krupski Squares of function spaces and function spaces on squares abstract slides Kubis Generic objects in topology abstract slides Kucharski On $\kappa$-metrizable spaces abstract slides Kwiatkowska The Lelek fan and the Poulsen simplex from Fraïssé sequences abstract slides Leek Combinatorics of spoke systems for Fréchet–Urysohn points abstract slides Leiderman $\mathfrak G$-bases in free objects over uniform spaces abstract slides Liu Notes on free (Abelian) topological groups abstract slides Lopez Abad The Ramsey property for Banach spaces, Choquet simplices, and their noncommutative analogs abstract Lukacs On group-valued continuous functions: $k$-groups and reflexivity abstract slides Martinez de la Vega History, structure, results and problems on hyperspaces and symmetric products abstract slides Martinez-Ranero Hereditary Interval Algebras and Cardinal Invariants. abstract slides Mayer Laminations of the Unit Disk and Cubic Julia Sets abstract slides McCluskey Turning ternary relations into antisymmetric betweenness relations abstract slides McKenney Automorphisms of $\mathcal{P}(\lambda)/\mathcal{I}_\kappa$ abstract slides Medvedev Resolvable-measurable mappings of metrizable spaces abstract slides Megaritis Ideal convergence of nets of functions with values in uniform spaces abstract slides Melleray Minimal homeomorphisms of a Cantor space: full groups and invariant measures. abstract slides Meroño The Samuel Realcompactification abstract slides van Mill Some results and problems on Countable Dense Homogeneous spaces abstract slides Miller On the length of Borel hierarchies abstract slides Moore Minimal non $\sigma$-scattered linear orders abstract Mouron On the classification of one dimensional continua that admit expansive homeomorphisms. abstract slides Nguyen Van Thé Group compactifications and Ramsey-type phenomena abstract slides Nyikos A structured construction of locally compact spaces by induction abstract Olela Otafudu On quasi-uniform box product abstract slides Oprocha On the shadowing property and odometers abstract slides Ortiz Castillo Crowded pseudocompact Tychonoff spaces of cellularity at most the continuum are resolvable abstract slides Oversteegen The space of invariant geometric laminations of degree $d$ abstract slides Pauly Characterizing Noetherian spaces as $\Delta^0_2$-analogue to compact spaces abstract slides Yinhe Peng Weak network and a weaker covering property for the basis problem abstract slides Pitrová Hereditary coreflective subcategories in categories of semitopological groups abstract slides Pitz Normal spanning trees in uncountable graphs, and almost disjoint families abstract slides Plewik On the center of distances abstract slides Plotka On lineability of classes of functions with various degrees of (dis)continuity abstract slides Rosendal Equivariant geometry of Banach spaces and topological groups abstract slides Quiñones Estrella Embedding cartesian products of graphs in symmetric products abstract slides Ramos-García Extremally disconnected topological groups abstract slides Reznichenko Maximal Homogeneous Spaces abstract slides Rmoutil Recovering a Compact Hausdorff Space $X$ from the Compatibility Ordering on $C(X)$ abstract slides Rodríguez-López Fuzzy uniform structures abstract slides Rojas-Hernández On Corson and Valdivia compact spaces abstract slides Rojas-Sánchez Star P and weakly star P properties abstract slides Sabok On hyperfiniteness of boundary actions of hyperbolic groups abstract slides Samulewicz Examples of absorbers in continuum theory abstract slides Shakhmatov Selectively sequentially pseudocompact group topologies on abelian groups abstract slides Shakir Setwise and Pointwise Betweenness via Hyperspaces abstract slides Sharma Convergence measure spaces: An approach towards the duality theory of convergence groups abstract slides Shlossberg Minimality of the Semidirect Product abstract slides Silva Almost disjoint families and relative versions of covering properties of $\kappa$-paracompactness type abstract slides Sipacheva On Boolean topological groups abstract slides Smythe A local Ramsey theory for block sequences abstract slides Solecki Projective Fraïssé limits and homogeneity for tuples of points of the pseudoarc abstract slides Soukup Pinning Down versus Density abstract slides Spadaro Infinite games and chain conditions abstract Spurný Baire classes of affine vector-valued functions abstract slides Starosolski Topological approach to "non-topological" ultrafilters abstract slides Szeptycki $G_\delta$ covers of compact spaces abstract slides Szewczak Productively (and non-productively) Menger spaces abstract slides Tall Definable Versions of Menger's Conjecture abstract slides Tamariz-Mascarua Completeness properties on $C_p(X,Y)$ spaces abstract slides Tkachenko More on the properties of almost connected pro-Lie groups abstract slides Tkacz The Bolzano property and the cube-like complexes abstract slides Todorcevic More on the structure theory of the compact sets of the first Baire class abstract slides Trnkova Dehn filling of a Hyperbolic 3-manifold abstract slides Usuba Lindelöf spaces and large cardinals abstract slides Vaughan Companions of partially ordered sets abstract slides Vidnyanszky Random elements of large groups – Discrete case abstract slides Villanueva-Méndez Chaos in hyperspaces of nonautonomous discrete systems abstract slides Vojtas Base Tree Phenomenological Horizons abstract slides Wajch Metrizable Cantor cubes that fail to be compact in some models for ZF abstract slides Weiss Universal Minimal Recurrence abstract slides Wohofsky Borel's conjecture for the Marczewski ideal abstract slides Zastrow The comparission of topologies for the fundamental group and for generalized covering spaces abstract Zava Some categorical aspects of coarse spaces and balleans abstract slides Zdomskyy Combinatorial covering properties and posets with fusion abstract Zielinski Locally Roelcke precompact Polish groups abstract slides