Articles & Conference Proceedings

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Borel's Conjecture in Topological Groups (with Fred Galvin), Journal of Symbolic Logic (2013)

We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number κ, let...

 

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Weak Covering Properties and Infinite Games (with L. Babinkostova and B A. Pansera), Topology and its Applications (2012)

We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and...

 

Creating and Implementing Cloud-Based Simulations to Enhance a Multivariable Calculus Course (with Joseph Guarino, Seung Youn Chyung, Charles Adams, Rey DeLeon, Francisco Castellon, Michael G. Wiedenfeld, and Paul Williams), Computers in Education Journal (2011)

A Cloud resource at Boise State University was used to enhance a large section of...

 

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Rothberger Bounded Groups and Ramsey Theory, Topology and its Applications (2011)

We show that:

(1) Rothberger bounded subgroups of σ-compact groups are characterized by Ramseyan partition...

 

Creating and Implementing Cloud-Based Simulations to Enhance a MultiVariable Calculus Course (with Joseph Guarino, Seung Youn Chyung, Charles Adams, Rey DeLeon, Francisco Castellon, Michael G. Wiedenfeld, and Paul Williams), 118th ASEE Annual Conference and Exposition, June 26-29, 2011, Vancouver, BC, Canada (2011)

A Cloud resource at Boise State University was used to enhance a large section of...

 

The Value of Interactive Simulations Used in an Undergraduate Math Class (with Seung Youn Chyung, Joseph Guarino, Rey DeLeon, Charles Adams, and Paul Williams), 118th ASEE Annual Conference and Exposition, June 26-29, 2011, Vancouver, BC, Canada (2011)

With Hewlett Packard grants awarded to Boise State University, we are working on developing best...

 

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Gerlits and Function Spaces, Studia Scientiarum Mathematicarum Hungarica (2010)

János Gerlits died unexpectedly in 2008. In this paper we attempt to make a small...

 

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Lindelöf Indestructibility, Topological Games and Selection Principles (with Franklin D. Tall), Fundamenta Mathematicae (2010)

Arhangel'skii proved that if a first countable Hausdorff space is Lindelöf, then its cardinality is...

 

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Measurable Cardinals and the Cardinality of Lindelöf Spaces, Topology and its Applications (2010)

We obtain from the consistency of the existence of a measurable cardinal the consistency of...

 

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Weakly Infinite Dimensional Subsets of RN (with Liljana Babinkostova), Topology and its Applications (2010)

The Continuum Hypothesis implies an Erdö-Sierpiński like duality between the ideal of first category subsets...

 

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Partition Relations for Hurewicz-Type Selection Hypotheses (with Nadav Samet and Boaz Tsaban), Topology and its Applications (2009)

We give a general method to reduce Hurewicz-type selection hypotheses into standard ones. The method...

 

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Rothberger's Property in All Finite Powers, Topology and its Applications (2008)

A space X has the Rothberger property in all finite powers if, and only if,...

 

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Combinatorics of Open Covers VI: Selectors for Sequences of Dense Sets, Quaestiones Mathematicae (1999)

We consider the following two selection principles for topological spaces:

[Principle 1:] { For each...

 

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Combinatorics of Open Covers (III): Games, Cp(X), Fundamenta Mathematicae (1997)

Some of the covering properties of spaces as defined in Parts I and II are...

 

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Combinatorics of Open Covers (I): Ramsey Theory, Topology and its Applications (1996)

We study several schemas for generating from one sort of open cover of a topological...

 

Books

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Set Theory and Its Applications: Annual Boise Extravaganza in Set Theory, 1995--2010, Boise, Idaho (with Liljana Babinkostova, Andrés Caicedo, and S. Geschke), Faculty Authored Books (2011)

This book consists of several survey and research papers covering a wide range of topics...

 

Presentations

On Generalizations of Borel’s Conjecture (with Fred Galvin), AMS Regional Conference (2011)

After a brief review of Borel's Conjecture we introduce a natural generalization. In the talk...

 

Borel's Conjecture and Topological Groups (with Fred Galvin), AMS Regional Conference (2011)

We present, in the context of topological groups, consistency results regarding a generalization of Borel's...