mathematics

Zdeněk Hedrlín

Zdeněk Hedrlín is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Zdeněk Hedrlín rather than just read about it. In short: 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.

Key takeaways

Zdeněk Hedrlín belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Zdeněk Hedrlín to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Zdeněk Hedrlín from memory before moving on to harder problems.

Reference excerpt

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, working 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.

Already in the mid-1960s, the Prague school of Zdeněk Hedrlín, Aleš Pultr and Věra Trnková had devised a particularly nice notion of concrete categories over Set, the so-called functor-structured categories ... In 1970 Hedrlín was an Invited Speaker at the International Congress of Mathematicians in Nice. 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. (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. His Erdős number is 1. His doctoral students include Vojtěch Rödl and Svatopluk Poljak.

Selected publication Hedrlín, Z. (1961). "On common fixed points of commutative mappings" (PDF). Commentationes Mathematicae Universitatis Carolinae. 2 (4): 25–28. Hedrlín, Zdeněk (1962). "On number of commutative mappings from finite set into itself (Preliminary communication)" (PDF). Commentationes Mathematicae Universitatis Carolinae. 3 (1): 32. Hedrlín, Z.; Pultr, A. (1963). "Remark on topological spaces with given semigroups" (PDF). Commentationes Mathematicae Universitatis Carolinae. 4 (4): 161–163. Hedrlín, Z.; Pultr, A. (1964). "Relations (graphs) with given finitely generated semigroups". Monatshefte für Mathematik. 68 (3): 213–217. doi:10.1007/BF01298508. S2CID 120856684. Pultr, A.; Hedrlín, Z. (1964). "Relations (graphs) with given infinite semigroups". Monatshefte für Mathematik. 68 (5): 421–425. doi:10.1007/BF01304185. S2CID 122610862. Baayen, P. C.; Hedrlin, Z. (1964). "On the existence of well distributed sequences in compact spaces" (PDF). Stichting Mathematisch Centrum. Zuivere Wiskunde. Hedrlín, Z.; Pultr, A. (1965). "Symmetric relations (undirected graphs) with given semigroups". Monatshefte für Mathematik. 69 (4): 318–322. doi:10.1007/BF01297617. S2CID 120384797. Vopěnka, P.; Pultr, A.; Hedrlín, Z. (1965). "A rigid relation exists on any set" (PDF). Commentationes Mathematicae Universitatis Carolinae. 6 (2): 149–155. Hedrlín, Zdeněk; Pultr, Aleš (1966). "On full embeddings of categories of algebras". Illinois Journal of Mathematics. 10 (3): 392–406. doi:10.1215/ijm/1256054991. (over 160 citations) Hedrlín, Z.; Pultr, A. (1966). "On Rigid Undirected Graphs". Canadian Journal of Mathematics. 18: 1237–1242. doi:10.4153/CJM-1966-121-7. S2CID 124453196. Hedrlín, Z.; Vopěnka, P. (1966). "An undecidable theorem concerning full embeddings into categories of algebras" (PDF). Commentationes Mathematicae Universitatis Carolinae. 7 (3): 401–409. Hedrlín, Z.; Pultr, A.; Trnková, V. (1967). "Concerning a categorial approach to topological and algebraic theories" (PDF). 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. pp. 176–181. Hedrlín, Zdeněk; Lambek, Joachim (1969). "How comprehensive is the category of semigroups?". Journal of Algebra. 11 (2): 195–212. doi:10.1016/0021-8693(69)90054-4. Hedrlín, Zdeněk (1969). "On universal partly ordered sets and classes" (PDF). Journal of Algebra. 11 (4): 503–509. doi:10.1016/0021-8693(69)90089-1. Hedrlín, Z.; Mendelsohn, E. (1969). "The Category of Graphs with a Given Subgraph-with Applications to Topology and Algebra". Canadian Journal of Mathematics. 21: 1506–1517. doi:10.4153/CJM-1969-165-5. S2CID 124324655. Goralčík, Pavel; Hedrlín, Zdeněk (1971). "On reconstruction of monoids from their table fragments". Mathematische Zeitschrift. 122: 82–92. doi:10.1007/BF01113568. S2CID 120230682. Chvatal, V.; Erdös, P.; Hedrlín, Z. (1972). "Ramsey's theorem and self-complementary graphs". Discrete Mathematics. 3 (4): 301–304. doi:10.1016/0012-365X(72)90087-8. Goralčík, P.; Hedrlín, Z.; Koubek, V.; Ryšunková, J. (1982). "A game of composing binary relations" (PDF). R.A.I.R.O.: Informatique Théorique. 16 (4): 365–369. doi:10.1051/ita/1982160403651. Hedrlín, Z.; Hell, P.; Ko, C.S. (1982). "Homomorphism Interpolation and Approximation". Algebraic and Geometric Combinatorics. North-Holland Mathematics Studies. Vol. 65. pp. 213–227. doi:10.1016/S0304-0208(08)73267-5. ISBN 9780444863652.

References

Illustrations

Worked examples

Example 1 — a first encounter with Zdeněk Hedrlín

Start with the simplest possible case. Write down what Zdeněk Hedrlín claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Zdeněk Hedrlín before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Zdeněk Hedrlín ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Zdeněk Hedrlín

In research: Zdeněk Hedrlín appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Zdeněk Hedrlín in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Zdeněk Hedrlín is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1933 births, 2018 deaths, 20th-century Czech mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Zdeněk Hedrlín outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Zdeněk Hedrlín” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Zdeněk Hedrlín in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Zdeněk Hedrlín means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Zdeněk Hedrlín out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Zdeněk Hedrlín in simple terms?

Why does Zdeněk Hedrlín matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Zdeněk Hedrlín?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Zdeněk Hedrlín.