astronomy

Glen Bredon

Glen Bredon is a astronomy 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 Glen Bredon rather than just read about it. In short: Glen Eugene Bredon (August 24, 1932 – May 8, 2000) was an American mathematician who worked in the area of topology. Education and career Bredon received a bachelor's degree from Stanford University in 1954 and a master's degree from Harvard University in 1955.

Key takeaways

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

Reference excerpt

Glen Eugene Bredon (August 24, 1932 – May 8, 2000) was an American mathematician who worked in the area of topology.

Education and career Bredon received a bachelor's degree from Stanford University in 1954 and a master's degree from Harvard University in 1955. In 1958, he wrote his PhD thesis at Harvard (Some theorems on transformation groups) under the supervision of Andrew M. Gleason. Starting in 1960, he worked as a professor at the University of California, Berkeley and since 1969 at Rutgers University, until he retired in 1993, after which he moved to North Fork, California. From 1958 to 1960 and 1966/67 he was at the Institute for Advanced Study. The Bredon cohomology of topological spaces under action of a topological group is named after him. In the late 1980s, he wrote the program DOS.MASTER for Apple II computers. He is the author of the programs Merlin (a macro assembler) and ProSel for Apple machines.

Personal life In 1963, while at Berkeley, he married folk singer Anne Bredon (née Loeb), with whom he had two children, Aaron and Joelle.

Software Bredon is the author of the programs Merlin (a macro assembler) and ProSel for Apple machines. DOS.MASTER (also: DOS Master) is a program for Apple II computers which allows Apple DOS 3.3 programs to be placed on a hard drive or 3½" floppy disk and run from ProDOS. Bredon wrote it as a commercial program during the late 1980s where it experienced widespread success; it was released into the public domain by his family after the author's death. DOS.MASTER was created as a result of Apple Computer's abandonment of the DOS 3.3 operating system and its subsequent replacement by ProDOS. Apple provided a program to copy files from DOS 3.3 volumes to new ProDOS volumes; however, programs written for DOS 3.3 did not run on ProDOS volumes. DOS.MASTER enabled a widely installed base of previously ProDOS incompatible programs written for DOS 3.3 to be run under ProDOS. DOS.MASTER took a large ProDOS partition, formatted it as a file, and then created a series of DOS 3.3 volumes within that file. The program allowed the user to create one of four DOS 3.3 volume sizes: 140 KB (the standard capacity of an Apple II 5¼" floppy disk), 160 KB, 200 KB, or 400 KB (the maximum that DOS 3.3 could address). Up to 255 of these volumes could be created on the larger ProDOS partition, space allowing, essentially simulating a very large stack of virtual floppy disk drives.

Works Bredon, Glen E. (1958). "Some theorems on transformation groups". Annals of Mathematics. 67 (1): 104–118. doi:10.2307/1969930. JSTOR 1969930. MR 0093559. Bredon, Glen E. (1964). "The cohomology ring structure of a fixed point set". Annals of Mathematics. 80 (3): 524–537. doi:10.2307/1970661. JSTOR 1970661. MR 0184225. Equivariant Cohomology Theories, Lecture Notes in Mathematics, Springer Verlag, 1967 Bredon, Glen E.; Wood, John W. (1969). "Non-orientable surfaces in orientable 3-manifolds". Inventiones Mathematicae. 7 (2): 83–110. Bibcode:1969InMat...7...83B. doi:10.1007/BF01389793. MR 0246312. S2CID 123119440. Bredon, Glen E. (1969). "Representations at fixed points of smooth actions of compact groups". Annals of Mathematics. 89 (3): 515–532. doi:10.2307/1970649. JSTOR 1970649. MR 0246324. Bredon, Glen E. (1972). Introduction to compact transformation groups. Academic Press. ISBN 0-12-128850-1. MR 0413144. OCLC 909309863. Bredon, Glen E. (1973). "Fixed point sets of actions on Poincaré duality spaces". Topology. 12 (2): 159–175. doi:10.1016/0040-9383(73)90004-9. MR 0331375. Topology and Geometry, Graduate Texts in Mathematics, Springer Verlag 1993, 1996 Bredon, Glen E. (1997) [1st pub. 1967, McGraw Hill]. Sheaf Theory. Graduate Texts in Mathematics. Vol. 170 (2nd ed.). Berlin, New York: Springer-Verlag. doi:10.1007/978-1-4612-0647-7. ISBN 978-0-387-94905-5. MR 1481706.

References

External links About Glen Bredon – In Memoriam

Worked examples

Example 1 — a first encounter with Glen Bredon

Start with the simplest possible case. Write down what Glen Bredon claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Glen Bredon 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 Glen Bredon 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 Glen Bredon

In research: Glen Bredon appears in astronomy 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 Glen Bredon 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: Glen Bredon is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1932 births, 2000 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Glen Bredon 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 Glen Bredon in 20 minutes

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Frequently asked questions

What is Glen Bredon in simple terms?

Glen Eugene Bredon (August 24, 1932 – May 8, 2000) was an American mathematician who worked in the area of topology. Education and career Bredon received a bachelor's degree from Stanford University in 1954 and a master's degree from Harvard University in 1955.

Why does Glen Bredon matter?

Because it connects several astronomy 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 Glen Bredon?

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 Glen Bredon.