My research interests include algebraic, geometric, and
general topology and category theory. My most recent
interests deal with generalized theories of covering spaces,
topological algebra, and understanding homotopy groups of locally
Selected Conference Talks:
- J. Brazas, Generalized
covering space theories, Submitted. Preprint
- J. Brazas, The unique
path lifting property and generalized covering maps, Preprint, 2014.
- J. Brazas, P. Fabel, On fundamental
groups with the quotient topology, To
appear in J.
Homotopy and Related Structures
- J. Brazas, P. Fabel, Thick
groups and the first shape group, To
appear in Rocky Mountain J. Math. 2014. arXiv
- J. Brazas, P. Fabel, Strongly
pseudoradial spaces, Topology
Proc. 46 (2015) 255-276. arXiv
- J. Brazas, Open
of free topological groups, Fundamenta
Mathematicae 226 (2014) 17-40. arXiv
- J. Brazas, Semicoverings,
coverings, overlays and open subgroups of the quasitopological
fundamental group, Topology Proc. 44 (2014) 285-313.
- J. Brazas, The
as a topological group, Topology
Appl. 160 (2013) 170-188.
- J. Brazas, Semicoverings:
generalization of covering space theory,
Homology Homotopy Appl.
(2012) 33-63. pdf
- J. Brazas, The
fundamental group and free topological
groups, Topology Appl. 158
- A characterization of the
unique path lifting property for the whisker topology, Joint
Meeting of the German and Polish Mathematical Societies (DMV-PTM),
Invited talk in Wild Algebraic & Geometric Topology session,
Poznan, Poland, September 18, 2014.
- Topological fundamental
groups and open subgroup theorems, Lloyd Roeling Lafayette
Mathematics Conference, Invited talk, UL Lafayette, November 9, 2013.
fundamental groups and the first shape map, 28th Summer
Conference on Topology and Its Applications, Invited talk in Continuum
Theory Session, Nippissing University, July 26, 2013. Abstract
- Open subgroups of free
topological groups, 47th
Spring Topology and Dynamics Conference, Central Connecticut State
University, March 24, 2013. Abstract
- J. Brazas, Homotopy
Spaces, University of New
Hampshire Ph.D. Dissertation, 2011.