Background
Dikranjan, Dikran Nishan was born on February 5, 1950 in Rousse, Bulgaria. Son of Nishan Kevorkian and Elis Onik (Shoulian) Dikranjan.
(Our motivation for gathering the material for this book o...)
Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for categories of topological spaces. In doing so we found the categorical not ion of closure operators interesting enough to be studied for its own sake, as it unifies and describes other significant mathematical notions and since it leads to a never-ending stream of ex amples and applications in all areas of mathematics. These are somewhat arbitrarily restricted to topology, algebra and (a small part of) discrete mathematics in this book, although other areas, such as functional analysis, would provide an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspects only en passant, in favour of the presentation of new results more closely related to our original intentions. We also needed to refrain from studying topological concepts, such as compactness, in the setting of an arbitrary closure-equipped category, although this topic appears prominently in the published literature involving closure operators.
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Dikranjan, Dikran Nishan was born on February 5, 1950 in Rousse, Bulgaria. Son of Nishan Kevorkian and Elis Onik (Shoulian) Dikranjan.
Master degree, University Sofia, Bulgaria, 1973. Doctor of Philosophy, University Sofia, Bulgaria, 1977. Diploma di Perfezionamento, Scuola Normale Superiore, Pisa, Italy, 1983.
Researcher Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, 1978-1980, 84-85, senior researcher, 1986-1991. Lecturer University l'Aquila, Italy, 1991-1992. Professor Udine (Italy) University, since 1992.
Visiting professor University Padua, Italy, 1982-1983, 91-92, Aquila University, 1989, York University, Toronto, Ontario, Canada, 1989, 91, 93, 2003, 2005, University Berne, 1994, University Matsuyama, Japan, 1994, 98, 2002-2003, City University of New York, 1995, Wesleyan University, 1995, West Virginia University, 1995-1996, 99, California State University, 1996, Universidad Autónoma Metropolitana Mexico, 1997, 99, 2004, Tulane University 1997, Ljubljana University, 1997-2000, Southern Mississippi University, 1997, University Jaume I., Castello, Spain, 2000, 2003, 05, University Western Australia, Perth, 2000, University South Australia, Adelaide, 2000, Miami University, 2002, Bar Ilan University, Tel Aviv, 2004, Wisconsin University, Madison, 2004, Coimbia University, Portugal, 2005, Comlutense University, Madrid, 2005, Technology University, Wien, 2005, Vrije University, Brussels, 2007.
(Our motivation for gathering the material for this book o...)
(Our motivation for gathering the material for this book o...)
Sergeant Bulgarian Infantry, 1974-1975. Member Union Italian Mathematicians.
Married Nevena Stefanova Georghieva, November 8, 1980.