INSTITUT FÜR MATHEMATIK UND WISSENSCHAFTLICHES RECHNEN |

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## Humor in der Mathematik - Löwenjagd## Even more methods to catch a lion in the desert(cited after John Barrington, 15 new ways to catch a lion, in: Seven Years of Manifold, Ian Stewart and John Jaworski, eds., Shiva Publishing Limited, 1981) ## The Cobordism Method:The lion is an orientable 3-manifold with boundary and is therefore a handlebody. A lion that can be handled is trivial to capture. ## The Sheaf-Theoretic Method:The lion is a cross-section of the sheaf of germs of lions in the desert. Re-topologize the desert to make it discrete: the stalks of the sheaf will then fall apart and release the germs which kill the lion. ## The Postnikov Method:The lion, being hairy, may be regarded a fibre space. Construct a Postnikov decomposition. But a decomposed lion is certainly long dead. ## The Game-Theory Method:The lion is a big game. In particular, he is a game. Hence there exists an optimal strategy. Follow it. ## The Thom-Zeeman Method:A lion loose in the desert is an obvious catastrophe. It has three dimensions of control (2 for position, 1 for time) and one dimensions of behavior (being parametrized by a lion). Hence by Thom's Classification Theorem it is a swallowtail. A lion that has swallowed its tail is in no state to avoid capture. ## The Australian Method:Lions are very varied creatures, so there is a variety of lions in the desert. This variety contains free lions which satisfy no nontrivial identities. Select a lion and register it as "Fred Lion" at the local Register Office. It now has a non-trivial identity, hence it is not free. If it is not free, it must be captive. |

AKTUELL SITEMAP SUCHE ENGLISCH UNI GRAZ Betreuer: Bernd Thaller / 13.11.04 |