mathematics

Laurent C. Siebenmann

Laurent C. Siebenmann 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 Laurent C. Siebenmann rather than just read about it. In short: Laurent Carl Siebenmann (the first name is sometimes spelled Laurence or Larry) (born 1939) is a Canadian mathematician based at the Université de Paris-Sud at Orsay, France. After working for several years as a Professor at Orsay he became a Directeur de Recherches at the Centre national de la recherche scientifique in 1976.

Key takeaways

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

Reference excerpt

Laurent Carl Siebenmann (the first name is sometimes spelled Laurence or Larry) (born 1939) is a Canadian mathematician based at the Université de Paris-Sud at Orsay, France. After working for several years as a Professor at Orsay he became a Directeur de Recherches at the Centre national de la recherche scientifique in 1976. He is a topologist who works on manifolds and who co-discovered the Kirby–Siebenmann class.

Education Siebenmann's undergraduate studies were at the University of Toronto. He received a Ph.D. from Princeton University under the supervision of John Milnor in 1965 with the dissertation The obstruction to finding a boundary for an open manifold of dimension greater than five. His doctoral students at Orsay included Francis Bonahon and Albert Fathi.

Recognition In 1985 he was awarded the Jeffery–Williams Prize by the Canadian Mathematical Society. In 2012 he became a fellow of the American Mathematical Society.

Selected publications Kirby, Robion C.; Siebenmann, Laurence C. (1977). Foundational Essays on Topological Manifolds, Smoothings, and Triangulations (PDF). Annals of Mathematics Studies. Vol. 88. Princeton, NJ: Princeton University Press. ISBN 0-691-08191-3. MR 0645390.

References

External links Kirby and the promised land of topological manifolds: memories and memorable arguments; a talk by Siebenmann Photos at Oberwolfach Home page Laurent C. Siebenmann at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Laurent C. Siebenmann

Start with the simplest possible case. Write down what Laurent C. Siebenmann 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 Laurent C. Siebenmann 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 Laurent C. Siebenmann 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 Laurent C. Siebenmann

In research: Laurent C. Siebenmann 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 Laurent C. Siebenmann 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: Laurent C. Siebenmann is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, 20th-century French mathematicians, Academic staff of Paris-Sud University, so understanding it makes those chapters shorter.
In everyday life: Look for Laurent C. Siebenmann 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 Laurent C. Siebenmann in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Laurent C. Siebenmann 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 Laurent C. Siebenmann out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Laurent C. Siebenmann in simple terms?

Why does Laurent C. Siebenmann 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 Laurent C. Siebenmann?

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 Laurent C. Siebenmann.