Jeremy
Brazas
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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
complicated spaces.
Research Papers:
 J. Brazas, P. Fabel, Strongly
pseudoradial spaces, Submitted 2013. arXiv
 J. Brazas, Open
subgroups
of free topological groups, To appear in Fundamenta
Mathematicae. arXiv
 J. Brazas, P. Fabel, On fundamental
groups with the quotient topology, To
appear in J.
Homotopy and Related Structures
2013. arXiv
 J. Brazas, P. Fabel, Thick
Spanier
groups and the first shape group, To
appear in Rocky Mountain J. Math. 2012. arXiv
 J. Brazas, Semicoverings,
coverings, overlays and open subgroups of the quasitopological
fundamental group, Topology Proc. 44 (2014) 285313.
 J. Brazas, The
fundamental group
as a topological group, Topology
Appl. 160 (2013) 170188.
 J. Brazas, Semicoverings:
a
generalization of covering space theory,
Homology Homotopy Appl.
14
(2012) 3363. pdf
 J. Brazas, The
topological
fundamental group and free topological
groups, Topology Appl. 158
(2011) 779802.
Recent Talks:
 Topological fundamental
groups and open subgroup theorems, Lloyd Roeling Lafayette
Mathematics Conference, Invited talk, UL Lafayette, November 9, 2013.
 Quasitopological
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
Slides
 Open subgroups of free
topological groups, 47th
Spring Topology and Dynamics Conference, Central Connecticut State
University, March 24, 2013. Abstract
Slides
Ph.D.
Dissertation:
 J. Brazas, Homotopy
Mapping
Spaces, University of New
Hampshire Ph.D. Dissertation, 2011.
Miscellaneous
notes:
