Symmetry, groupoids and higher-dimensional analogues. (English) Zbl 0703.20054
This expository paper is an expanded version of a lecture to an audience of scientists explaining the concept of a groupoid and tracing its genesis. The reader will find interesting historical observations and insights. The final goal is to give the reader a glimpse of the higher dimensional analogue, the double monoid. Some illustrations demonstrate how the idea works.
Reviewer: K.H.Hofmann
MSC:
| 20L05 | Groupoids (i.e. small categories in which all morphisms are isomorphisms) |
| 18B40 | Groupoids, semigroupoids, semigroups, groups (viewed as categories) |
| 20-03 | History of group theory |
| 01A60 | History of mathematics in the 20th century |
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