Ralph David Kopperman, 1942-2021
Keywords:
remembranceAbstract
Professor Ralph David Kopperman died on February 6, 2021 at the age of 78, a victim of the SARS-Covid-2 pandemic. He will be greatly missed, most dearly by his wife Connie and his five adult children, but also by the wider mathematical and computer science communities and his many co-authors (MathSciNet lists 58 of these), including, of course, the three authors of this article of remembrance.
References
S. Andima, R. D. Kopperman and P. Nickolas, An asymmetric Ellis theorem, Topology and its Applications 155 (2007), 146-160.
S. Andima, R. D. Kopperman, P. Nickolas and S. Popvassilev, A family of asymmetric Ellis-type theorems, Houston J. Math. 36 (2010), no. 1, 181-198.
M. Bukatin, R. D. Kopperman, S. Matthews and H. Pajoohesh, Partial Metric spaces, American Mathematical Monthly, 116, (2009), 708-718.
M. Darnel, and W. C. Holland, Minimal non-metabelian varieties of $\ell$-groups that contain no nonabelian o-groups, Communications in Algebra, 42 (2014), 51005133.
M. Henriksen and R. D. Kopperman, Bitopological spaces of ideals, General topology and applications (Middletown, CT, 1988), 133-141, Lecture Notes in Pure and Appl. Math., 123, Dekker, New York, 1990.
M. Henriksen and R. D. Kopperman, A general theory of structure spaces with applications to spaces of prime ideals, Algebra Universalis, 28 No. 3 (1991), 349-376.
M. Henriksen, R. D. Kopperman, J. Mack, and D. W. B. Somerset, Joincompact spaces, continuous lattices, and $C^*$-algebras, Algebra Universalis, 38, No. 3, (1997), 289-323.
W. C. Holland, R. D. Kopperman and H. Pajoohesh, Intrinsic generalized metrics, Algebra Universalis, 67, No. 1 (2012), 1-18.
E. Khalimsky, R. D. Kopperman and P. R. Meyer, Computer graphics and connected topologies on finite ordered sets, Topology Appl., 36 No. 1(1990), 1-17.
E. Khalimsky, R. D. Kopperman and P. R. Meyer , Boundaries in digital planes, J. Appl. Math. Stochastic Anal., 3 No. 1 (1990), 27-55.
T. Y. Kong, R. D. Kopperman and P. R. Meyer, Which spaces have metric analogs? General topology and applications (Staten Island, NY, 1989), 209-215, Lecture Notes in Pure and Appl. Math., 134, M. Dekker, New York, 1991.
T. Y. Kong, R. D. Kopperman and P. R. Meyer , A topological approach to digital topology, Am. Math. Monthly, 98 (1991), no. 10, 901-917.
R. D. Kopperman, All topologies come from generalized metrics, Am. Math. Monthly, 95 (1988), 89-97.
R. D. Kopperman and P. R. Meyer, Cardinal invariants of bitopological spaces, Casopis Pēst. Mat., 114 No. 4 (1989), 374-380.
R. D. Kopperman, P. R. Meyer and R. G. Wilson, A Jordan surface theorem for three-dimensional digital spaces, Discrete and Computational Geometry, 6 (1991), 155-161.
R. D. Kopperman, Asymmetry and duality in topology, Topology and its Applications, 66 (1995), 1-39.
R. D. Kopperman and R. G. Wilson, Finite approximation of compact Hausdorff spaces, Topology Proceedings, 22 (1997), 176-200.
R. D. Kopperman, I. Puga and R. G. Wilson, The approximation of continua by $T_{1 / 2}$-spaces, Topology Proceedings, 24 (1999), 251-266.
R. D. Kopperman, V. V. Tkachuk and R. G. Wilson, The approximation of compacta by finite $T_0$-spaces, Quaestiones Mathematicae, 26 No. 3 (2003), 355-370.
R. D. Kopperman and R. G. Wilson, On the role of finite hereditarily normal spaces and maps in the genesis of compact Hausdorff spaces, Topology and its Applications, 135 (2004), 265-275.
R. D. Kopperman, S. Matthews and H. Pajoohesh, Universal partial metrizability, Applied General Topology, 5 (2004), 115-127.
R. D. Kopperman and J. D. Lawson, Bitopological and topological ordered $k$ spaces, Topology and its Applications, 146/147 (2005), 385-396.
R. D. Kopperman and R. G. Wilson, Separation and connectedness in spectral compactifications, Houston Journal of Mathematics, 33 No. 2 (2007), 483-497.
R. D. Kopperman and R. G. Wilson, Continuous maps on spectral systems and Wallman-type compactifications, Topology Proceedings, 34 (2009), 203-221.
R. D. Kopperman, S. Matthews and H. Pajoohesh, Completions of partial metrics into value lattices, Topology and Applications, 156 (2009), 1534-1544.
R. D. Kopperman and H. Pajoohesh, and T. Richmond, Topologies arising from metrics valued in abelian $\ell$-groups , Algebra Universalis, 65 (2011), 315-330.
R. D. Kopperman and H. Pajoohesh, Generalizations of metrics and partial metrics, Hacettepe Journal of Mathematics and Statistics, 46 No. 1 (2017), 9-14.
H. P. Kunzi and H. Pajoohesh, b-metrics, to appear in Topology and Its Applications.
S. Matthews, Partial metric topology, Proc. 8th Summer Conference on Topology and its Applications, ed. S. Andima et al., Annals of the New York Academy of Sciences, 728 (1994), 183-197.
S.D. McCartan, Separation axioms for topological ordered spaces, Proc. Camb. Phil. Soc. 64 (1968), 965-973.
L. Nachbin, Topology and Order, Van Nostrand, 1965.
H. Pajoohesh, $k$-metric spaces, Algebra Universalis, 69 No. 1 (2013), 27-43.
