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
fundamental groups of locally complicated spaces.
Research Papers:
- J. Brazas, On
the existence of coverings, overlays, and semicoverings,
Submitted 2013.
- J. Brazas, P. Fabel, On
the topology of quasitopological fundamental groups, Submitted
2013. arXiv
- J. Brazas, P. Fabel, On
generalized sequential spaces, Submitted 2012. arXiv
- J. Brazas, Open
subgroups
of free topological groups, Submitted, 2012. 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:
a
generalization of covering space theory,
Homology Homotopy Appl.
14
(2012) 33-63. pdf
- J. Brazas, The
fundamental group
as topological group, Topology
Appl. 160 (2013) 170-188.
- J. Brazas, The
topological
fundamental group and free topological
groups, Topology Appl. 158
(2011) 779-802.
Ph.D.
Dissertation:
- J. Brazas, Homotopy
Mapping
Spaces, University of New
Hampshire Ph.D. Dissertation, 2011.
Miscellaneous
notes:
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