Summer Conference on Topology and Its Applications

The University of Dayton Department of Mathematics hosted the 32nd Summer Conference on Topology and Its Applications June 27–30, 2017. The conference featured five sessions, each with a plenary speaker and two semi-plenary speakers. The conference also featured a presentation by Kathryn Mann of the University of California, Berkeley, the recipient of the 2016 Mary Ellen Rudin Young Researchers Award.

The event received sponsorship from the National Science Foundation to provide financial assistance to students, early career mathematicians, and those without institutional support. This collection includes abstracts and presentation slides for the research presented at the conference. Selected papers will be published in Topology Proceedings, ISSN 0146-4124.

Abstracts from conferences from 1995 to the present are available at the conference archive.

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Conference Information

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Conference Program, University of Dayton

Plenary Lectures

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A Compact Minimal Space Whose Cartesian Square Is Not Minimal, Jan P. Boronski, Alex Clark, and Piotr Oprocha

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Locally Compact Groups: Traditions and Trends, Karl Heinrich Hofmann, Wolfgang Herfort, and Francesco G. Russo

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Order, Distance, Closure and Convergence: Reconciling Competing Fundamental Topological Concepts, Walter Tholen

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Dense Subsets of Function Spaces with No Non-Trivial Convergent Sequences, Vladimir V. Tkachuk

Semi-plenary lectures

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Classifying Matchbox Manifolds, Olga Lukina

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Rigidity and Nonrigidity of Corona Algebras, Paul McKenney and Alessandro Vignati

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Domains and Probability Measures: A Topological Retrospective, Michael Mislove

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Topologically Homogeneous Continua, Isometrically Homogeneous Continua, and the Pseudo-Arc, Janusz Prajs

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Topology and Order, Tom Richmond

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On the Lindelöf Σ-Property and Some Related Conclusions, Reynaldo Rojas-Hernandez, Fidel Casarrubias-Segura, and Salvador Garcia-Ferreira

Topology + Algebra and Analysis

Quantale-Valued Gauge Groups and Approach Convergence Transformation Groups, T.M.G. Ahsanullah

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On a Construction of Some Class of Metric Spaces, Dariusz Bugajewski

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Generic Approximation and Interpolation by Entire Functions via Restriction of the Values of the Derivatives, Maxim R. Burke

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Which Topological Groups Arise as Automorphism Groups of Locally Finite Graphs?, Xiao Chang and Paul Gartside

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Compactly Supported Homeomorphisms as Long Direct Limits, Rafael Dahmen and Gábor Lukács

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On the Tightness and Long Directed Limits of Free Topological Algebras, Gábor Lukács and Rafael Dahmen

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Balanced and Functionally Balanced P-Groups, Menachem Shlossberg

Interpolation Sets in Compact Groups, Luis Tárrega, Salvador Hernandez, and Maria V. Ferrer

Topology + Asymmetric Structures

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On Di-injective T0-Quasi-metric Spaces, Collins Amburo Agyingi

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The Isbell-hull of an Asymmetrically Normed Space, Olivier Olela Otafudu, Jurie Conradie, and Hans-Peter Künzi

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Enriched Topology and Asymmetry, Stephen Rodabaugh, Jeffrey T. Denniston, and Austin Melton

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Relationships between Hereditary Sobriety, Sobriety, TD, T1, and Locally Hausdorff, Stephen Rodabaugh, Jeffrey T. Denniston, Austin Melton, and Jamal K. Tartir

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On Quasi-Uniform Box Products, Hope Sabao and Olivier Olela Otafudu

Topology + Dynamics and Continuum Theory

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A Trace Formula for Foliated Flows (working paper), Jesús A. Álvarez López, Yuri A. Kordyukov, and Eric Leichtnam

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Entropy of Induced Continuum Dendrite Homeomorphisms, Jennyffer Bohorquez and Alexander Arbieto

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Pseudo-Contractibility, Felix Capulín, Leonardo Juarez-Villa, and Fernando Orozco

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Topology and Experimental Distinguishability, Gabriele Carcassi, Christine A. Aidala, David J. Baker, and Mark J. Greenfield

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Liouville Numbers and One-sided Ergodic Hilbert Transformations, David Constantine and Joanna Furno

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Hausdorff Dimension of Kuperberg Minimal Sets, Daniel Ingbretson

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The Specification Property and Infinite Entropy for Certain Classes of Linear Operators, James Kelly, Will Brian, and Tim Tennant

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Shift Maps and Their Variants on Inverse Limits with Set-Valued Functions, Judy Kennedy, Kazuhiro Kawamura, Van Nall, and Goran Erceg

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Sequential Decreasing Strong Size Properties, Miguel A. Lara, Fernando Orozco, and Felix Capulín

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Aperiodic Colorings and Dynamics, Ramon Barral Lijo and Jesús A. Álvarez López

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Quotients of n-fold Hyperspaces, Sergio Macías and Javier Camargo

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A New Class of Dendrites Having Unique Second Symmetric Product, David Maya, José G. Anaya, and Fernando Orozco Zitli

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On Continua with Regular Non-abelian Self Covers, Mathew Timm

Topology + Foundations

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Revelation of Nano Topology in Cech Rough Closure Spaces, V. Antonysamy, Llellis Thivagar, and Arockia Dasan

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On Cohomological Dimensions of Remainders of Stone-Čech Compactifications, Vladimer Baladze

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On Roitman's Principle for Box Products, Hector Alonso Barriga-Acosta

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On the Chogoshvili Homology Theory of Continuous Maps of Compact Spaces, Anzor Beridze and Vladimer Baladze

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On Cardinality Bounds Involving the Weak Lindelöf Degree and H-Closed Spaces, Nathan Carlson, Angelo Bella, and Jack Porter

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Sequential Order of Compact Scattered Spaces, Alan Dow

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Spaces with No S or L Subspaces, Joan Hart and Kenneth Kunen

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Disjoint Infinity Borel Functions, Daniel Hathaway

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Properties of Weak Domain Representable Spaces, Joe Mashburn

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On the Axiomatic Systems of Steenrod Homology Theory of Compact Spaces, Leonard Mdzinarishvili and Anzor Beridze

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Compactness via Adherence Dominators, Bhamini M. P. Nayar, Terrence A. Edwards, James E. Joseph, and Myung H. Kwack

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Normal Images of a Product and Countably Paracompact Condensation, Jila Niknejad

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Relationships between Topological Properties of X and Algebraic Properties of Intermediate Rings A(X), Joshua Sack

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Some Applications of the Point-Open Subbase Game, David Guerrero Sanchez

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Cohen Reals and the Sequential Order of Groups, Alexander Shibakov

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Fiber Strong Shape Theory for Topological Spaces, Ruslan Tsinaridze and Vladimer Baladze

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Some New Completeness Properties in Topological Spaces, Cetin Vural and Süleyman Önal

Topology + Geometry

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On Product Stability of Asymptotic Property C, Gregory C. Bell and Andrzej Nagórko

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Virtual Seifert Surfaces and Slice Obstructions For Knots in Thickened Surfaces, Micah Chrisman, Hans U. Boden, and Robin Gaudreau

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Totally Geodesic Surfaces in Arithmetic Hyperbolic 3-Manifolds, Benjamin Linowitz and Jeffrey S. Meyer

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Uncountably Many Quasi-Isometry Classes of Groups of Type FP, Ignat Soroko, Robert Kropholler, and Ian Leary

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Extension Theorems for Large Scale Spaces via Neighbourhood Operators, Thomas Weighill and Jerzy Dydak

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Lifting Homeomorphisms of Cyclic Branched Covers of the Sphere, Rebecca R. Winarski and Tyrone Ghaswala

Workshops

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Entropy in Topological Groups, Part 1, Dikran Dikranjan

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Entropy in Topological Groups, Part 2, Dikran Dikranjan