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Maurice Sion

Maurice Sion 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 Maurice Sion rather than just read about it. In short: Maurice Sion (17 October 1927, Skopje – 17 April 2018, Vancouver) was an American and Canadian mathematician, specializing in measure theory and game theory. He is known for Sion's minimax theorem.

Key takeaways

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

Reference excerpt

Maurice Sion (17 October 1927, Skopje – 17 April 2018, Vancouver) was an American and Canadian mathematician, specializing in measure theory and game theory. He is known for Sion's minimax theorem.

Biography He was born in Skopje (now North Macedonia), to Ladino-speaking Sephardic Jewish parents, Max and Sarah, and spent his early years in Salonika, Greece, Izmir, Turkey and Beirut, Lebanon, before immigrating at the age of 16 with his family to New York. Sion received from New York University his B.A. in 1947 and his M.A. in 1948. He received from the University of California, Berkeley in 1951 his Ph.D. under the supervision of Anthony Morse with thesis On the existence of functions having given partial derivatives on Whitney's curve. Sion was a member of the mathematics faculty at U.C. Berkeley until 1960, when he immigrated to Canada with his wife Emilie and his two children born in the U.S.A. (His two younger children were born in Canada.) From 1960 until he retired in 1989, Maurice Sion was a professor of mathematics at the University of British Columbia. For two academic years from 1957 to 1959 and in the autumn of 1962 he was at the Institute for Advanced Study. He wrote several books on mathematics and served for many years as the head of the University of British Columbia's mathematics department. In 1957 he was the coauthor with Philip Wolfe of a paper with an example of a zero-sum game without a minimax value. Sion was an Invited Speaker at the International Congress of Mathematicians (ICM) in 1970 in Nice and was appointed the Main Organizer for the ICM held in Vancouver in 1974. In 2012 he was elected a Fellow of the American Mathematical Society. Sion was fluent in Spanish, Italian, French, and English.

He greatly enjoyed travelling, taking several sabbatical years abroad. His retirement was spent partly in Paris and partly in Vancouver to where he moved back permanently in 2011. He was predeceased by his youngest child. Upon his death he was survived by his widow, three children, and six grandchildren.

Selected publications

Articles Sion, Maurice (1960). "On uniformization of sets in topological spaces" (PDF). Trans. Amer. Math. Soc. 96 (2): 237–245. doi:10.1090/s0002-9947-1960-0131506-x. Sion, Maurice (1961). "Continuous images of Borel sets". Proc. Amer. Math. Soc. 12 (3): 385–391. doi:10.1090/S0002-9939-1961-0131508-X. with R. C. Willmott: Sion, M.; Willmott, R. C. (1966). "Hausdorff measures on abstract spaces". Trans. Amer. Math. Soc. 123 (2): 275–309. doi:10.1090/S0002-9947-1966-0200402-7. Sion, Maurice (1969). "Outer measures with values in a topological group". Proceedings of the London Mathematical Society. 3 (1): 89–106. doi:10.1112/plms/s3-19.1.89.

Books Introduction to the methods of real analysis. New York: Holt, Rinehart and Winston. 1968. Theory of semigroup valued measures. Berlin; New York: Springer-Verlag. 1973. ISBN 9783540378396.

References

Worked examples

Example 1 — a first encounter with Maurice Sion

Start with the simplest possible case. Write down what Maurice Sion 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 Maurice Sion 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 Maurice Sion 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 Maurice Sion

In research
Maurice Sion 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 Maurice Sion 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
Maurice Sion is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1927 births, 2018 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life
Look for Maurice Sion 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.
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How to study Maurice Sion in 20 minutes

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

Frequently asked questions

What is Maurice Sion in simple terms?

Maurice Sion (17 October 1927, Skopje – 17 April 2018, Vancouver) was an American and Canadian mathematician, specializing in measure theory and game theory. He is known for Sion's minimax theorem.

Why does Maurice Sion 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 Maurice Sion?

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 Maurice Sion.

Tags

  • 1927 births
  • 2018 deaths
  • 20th-century American mathematicians
  • 20th-century Canadian mathematicians
  • 21st-century American mathematicians
  • 21st-century Canadian mathematicians
  • Academic staff of the University of British Columbia
  • Fellows of the American Mathematical Society
  • Mathematical analysts
  • Measure theorists
  • New York University alumni
  • People from Skopje

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