Ákos Császár
Encyclopedia
Ákos Császár is a Hungarian mathematician, specializing in general topology
and real analysis
. He discovered the Császár polyhedron
, a nonconvex polyhedron
without diagonals. He introduced the notion of syntopogeneous spaces, a generalization of topological space
s.
Between 1952 and 1992 he was head of the Department of Analysis at the Eötvös Loránd University, Budapest.
Corresponding member (1970), member (1979) of the Hungarian Academy of Sciences
. He has been general secretary (1966–1980), president (1980–1990), honorary president (since 1990) of the János Bolyai Mathematical Society
. He received the Kossuth Prize
(1963) and the Gold Medal of the Hungarian Academy of Sciences (2009).
General topology
In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them...
and real analysis
Real analysis
Real analysis, is a branch of mathematical analysis dealing with the set of real numbers and functions of a real variable. In particular, it deals with the analytic properties of real functions and sequences, including convergence and limits of sequences of real numbers, the calculus of the real...
. He discovered the Császár polyhedron
Császár polyhedron
In geometry, the Császár polyhedron is a nonconvex polyhedron, topologically a toroid, with 14 triangular faces.This polyhedron has no diagonals; every pair of vertices is connected by an edge. The seven vertices and 21 edges of the Császár polyhedron form an embedding of the complete graph K_7...
, a nonconvex polyhedron
Polyhedron
In elementary geometry a polyhedron is a geometric solid in three dimensions with flat faces and straight edges...
without diagonals. He introduced the notion of syntopogeneous spaces, a generalization of topological space
Topological space
Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion...
s.
Between 1952 and 1992 he was head of the Department of Analysis at the Eötvös Loránd University, Budapest.
Corresponding member (1970), member (1979) of the Hungarian Academy of Sciences
Hungarian Academy of Sciences
The Hungarian Academy of Sciences is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest.-History:...
. He has been general secretary (1966–1980), president (1980–1990), honorary president (since 1990) of the János Bolyai Mathematical Society
János Bolyai Mathematical Society
The János Bolyai Mathematical Society is the Hungarian mathematical society, named after János Bolyai, a 19th century Hungarian mathematician, a co-discoverer of non-Euclidean geometry. It is the professional society of the Hungarian mathematicians, applied mathematicians, and mathematics teachers...
. He received the Kossuth Prize
Kossuth Prize
The Kossuth Prize is a state-sponsored award in Hungary, named after the Hungarian politician and revolutionary Lajos Kossuth. The Prize was established in 1948 by the Hungarian National Assembly, to acknowledge outstanding personal and group achievements in the fields of...
(1963) and the Gold Medal of the Hungarian Academy of Sciences (2009).
Selected publications
- Á. Császár: A polyhedron without diagonals, Acta Sci. Math. SzegedActa Scientiarum MathematicarumActa Scientiarum Mathematicarum is a Hungarian mathematical journal, edited and published in Szeged, at the János Bolyai Mathematical Institute of the University of Szeged. It was founded by Alfréd Haar and Frigyes Riesz in 1922. The current editor-in-chief is László Kérchy....
, 13(1949), 140–142. - Á. Császár: Foundations of general topology, A Pergamon Press Book The Macmillan Co., New York 1963 xix+380 pp.
- Á. Császár: General topology, Translated from the Hungarian by Klára Császár. Adam Hilger Ltd., Bristol, 1978. 488 pp. ISBN 0-85274-275-4