Zdeněk Hedrlín Explained

Zdeněk Hedrlín (1933 – April 22, 2018) was a Czech mathematician, specializing in universal algebra and combinatorial theory, both in pure and applied mathematics.

Zdeněk Hedrlín received his PhD from Prague's Charles University in 1963. His thesis on commutative semigroups was supervised by Miroslav Katětov. Hedrlín held the title of Docent (associated professor) at Charles University. There he worked at the Faculty of Mathematics and Physics for over 60 years until he died at age 85. He was among the first Czech mathematicians to do research on category theory.^[1]

In 1970 Hedrlín was an Invited Speaker at the International Congress of Mathematicians in Nice.^[2] In the later part of his career, he focused on applications of relational structures and led very successful special and interdisciplinary seminars. Applications to biological cell behavior earned him and his students a European grant.^[1] (He and his students worked on computational cell models of cancer.)

Hedrlín was a member of the editorial board of the Journal of Pure and Applied Algebra.^[3] His Erdős number is 1.^[4] His doctoral students include Vojtěch Rödl.

Selected publication

• Hedrlín, Z.. On common fixed points of commutative mappings. Commentationes Mathematicae Universitatis Carolinae. 2. 4. 1961. 25–28.
• Hedrlín, Zdeněk. On number of commutative mappings from finite set into itself (Preliminary communication). Commentationes Mathematicae Universitatis Carolinae. 3. 1. 32. 1962.
• Hedrlín, Z.. Pultr, A.. 1963. Remark on topological spaces with given semigroups. Commentationes Mathematicae Universitatis Carolinae. 4. 4. 161–163.
• 10.1007/BF01298508. Relations (graphs) with given finitely generated semigroups. 1964. Hedrlín. Z.. Pultr. A.. Monatshefte für Mathematik. 68. 3. 213–217. 120856684.
• 10.1007/BF01304185. Relations (graphs) with given infinite semigroups. 1964. Pultr. A.. Hedrlín. Z.. Monatshefte für Mathematik. 68. 5. 421–425. 122610862.
• Baayen, P. C.. Hedrlin, Z.. 1964. On the existence of well distributed sequences in compact spaces. Stichting Mathematisch Centrum. Zuivere Wiskunde.
• 10.1007/BF01297617. Symmetric relations (undirected graphs) with given semigroups. 1965. Hedrlín. Z.. Pultr. A.. Monatshefte für Mathematik. 69. 4. 318–322. 120384797.
• Vopěnka, P.. Pultr, A.. Hedrlín, Z.. 1965. A rigid relation exists on any set. Commentationes Mathematicae Universitatis Carolinae. 6. 2. 149–155.
• Hedrlín, Zdeněk. Pultr, Aleš. On full embeddings of categories of algebras. Illinois Journal of Mathematics. 10. 3. 1966. 392–406. 10.1215/ijm/1256054991. free. (over 160 citations)
• 10.4153/CJM-1966-121-7. On Rigid Undirected Graphs. 1966. Hedrlín. Z.. Pultr. A.. Canadian Journal of Mathematics. 18. 1237–1242. 124453196. free.
• Hedrlín, Z.. Vopěnka, P.. 1966. An undecidable theorem concerning full embeddings into categories of algebras. Commentationes Mathematicae Universitatis Carolinae. 7. 3. 401–409.
• Book: Hedrlín, Z.. Pultr, A.. Trnková, V.. Concerning a categorial approach to topological and algebraic theories. In: (ed.): General Topology and its Relations to Modern Analysis and Algebra, Proceedings of the second Prague topological symposium, 1966. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha. 1967. 176–181. https://dml.cz/bitstream/handle/10338.dmlcz/700889/Toposym_02-1966-1_43.pdf.
• 10.1016/0021-8693(69)90054-4. How comprehensive is the category of semigroups?. 1969. Hedrlín. Zdeněk. Lambek. Joachim. Journal of Algebra. 11. 2. 195–212. free.
• Hedrlín, Zdeněk. On universal partly ordered sets and classes. Journal of Algebra. 11. 503–509. 1969. 4. 10.1016/0021-8693(69)90089-1. free.
• 10.4153/CJM-1969-165-5. The Category of Graphs with a Given Subgraph-with Applications to Topology and Algebra. 1969. Hedrlín. Z.. Mendelsohn. E.. Canadian Journal of Mathematics. 21. 1506–1517. 124324655. free.
• 10.1007/BF01113568. On reconstruction of monoids from their table fragments. 1971. Goralčík. Pavel. Hedrlín. Zdeněk. Mathematische Zeitschrift. 122. 82–92. 120230682.
• 10.1016/0012-365X(72)90087-8. Ramsey's theorem and self-complementary graphs. 1972. Chvatal. V.. Václav Chvátal. Erdös. P.. Hedrlín. Z.. Discrete Mathematics. 3. 4. 301–304. free.
• Goralčík, P.. Hedrlín, Z.. Koubek, V.. Ryšunková, J.. 1982. A game of composing binary relations. R.A.I.R.O.: Informatique Théorique . 16. 4. 365–369. 10.1051/ita/1982160403651.
• Book: 10.1016/S0304-0208(08)73267-5. Homomorphism Interpolation and Approximation. Algebraic and Geometric Combinatorics. North-Holland Mathematics Studies. 1982. Hedrlín. Z.. Hell. P.. Pavol Hell. Ko. C.S.. 65. 213–227. 9780444863652.

References

1. Web site: Kratochvíl, Jan. Zemřel doc. Zdeněk Hedrlín (deceased docent Zdeněk Hedrlín). Matematicko-fyzikální fakulty Univerzity Karlovy (Mathematics and Physics Faculty of Charles University). April 26, 2018.
2. Book: Hedrlín, Z.. 1970. Extensions of structures and full embeddings of categories. In: Actes du Congrès international des mathématiciens, 1–10 Septembre 1970, Nice. 1. 319–321.
3. Web site: Managing Editors; Editors. Journal of Pure and Applied Algebra.
4. 10.1016/0012-365X(72)90087-8. Ramsey's theorem and self-complementary graphs. 1972. Chvatal. V.. Erdös. P.. Hedrlín. Z.. Discrete Mathematics. 3. 4. 301–304. free.