For a locally compact (LC) group G, denote by G + its underlying group equipped with the topology inherited from its Bohr compactification. G is maximally almost periodic (MAP) if and only if G + is Hausdorff. If P denotes a topological property, then we say that a MAP group G respects P if G and G
The beginnings of the R.L. Moore school of topology
โ Scribed by Albert C Lewis
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 244 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0315-0860
No coin nor oath required. For personal study only.
โฆ Synopsis
The roots of the R.L. Moore school of point set topology were formed around 1900, with Moore's most direct influences coming from his University of Texas teacher, G.B. Halsted, and from his graduate school teachers at the University of Chicago, mainly O. Veblen and E.H. Moore. It was recognized as a school by the 1930s as Moore and his students achieved recognition for their work and as this group interacted with the Polish school of topology. In addition to the mathematical subject, the other main factor that helped to identify this group as a school was the distinctive method of teaching Moore used to introduce the subject to students.
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