Research Area: Pointfree Topology
Research Papers
- J. Frith and A. Schauerte, A method for constructing coreflections for nearness frames, Applied Categorical Structures, accepted February 2013.
- J. Frith and A. Schauerte, Enough regular Cauchy filters for asymmetric uniform and nearness structures, Applied Categorical Structures, appeared online May 2012.
DOI: 10.1007/s10485-012-9286-3.
- J. Frith and A. Schauerte, Asymmetric filter convergence and completeness, Quaestiones Mathematicae, accepted May 2012.
- J. Frith and A. Schauerte, An asymmetric approach to filters in strict extensions and quotients, Acta Mathematica Hungarica, 137 (2012) 82 -- 103.
DOI: 10.1007/s10474-012-0208-5
- J. Frith and A. Schauerte, Quasi-nearness biframes: unique completions and related covering properties, Quaestiones Mathematicae, 35 (2012) 35 -- 56.
DOI: 10.2989/16073606.2012.671168
- J. Frith and A. Schauerte, The reals as full and balanced biframe, Topology and its Applications, 158 (2011) 2322 -- 2331.
DOI: 10.1016/j.topol.2010.11.026
- J. Frith and A. Schauerte, An asymmetric characterization of the congruence frame, Topology and its Applications, 158 (2011) 939 -- 944.
DOI: 10.1016/j.topol.2011.01.013
- J. Frith and A. Schauerte, Quasi-nearnesses on biframes and their completions, Quaestiones Mathematicae, 33(4) (2010) 507 ? 530.
DOI: 10.2989/16073606.2010.541989
- J. Frith and A. Schauerte, The Samuel compactification for quasi-uniform biframes, Topology and its Applications, 156 (2009) 2116 -- 2122.
DOI: 10.1016/j.topol.2009.03.034
- A. Schauerte, Notions of local compactness and smallest compactifications of biframes, Applied Categorical Structures, 14 (2006) 259 -- 272.
DOI: 10.1007/s10485-006-9023-x
- P. Fletcher, J. Frith, W. Hunsaker and A. Schauerte, The Nachbin quasi-uniformity of a bi-Stonian space, Journal of the Australian Mathematical Society (Series A), 61 (1996) 322 -- 326.
DOI: 10.1017/S1446788700000409
- A. Schauerte, Normality for biframes, Applied Categorical Structures, 3 (1995) 1 -- 9.
DOI 10.1007/BF00872946
- A. Schauerte, Biframe compactifications, Commentationes Mathematicae Universitatis Carolinae, 34(3) (1993) 567 -- 574. Please search in the Archive given by this link.
- A. Schauerte, On the MacNeille completion of the category of partially ordered topological spaces, Mathematische Nachrichten, 163 (1993) 281 -- 288.
DOI: 10.1002/mana.19931630123