- Abstract:
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In this thesis we study the homological behaviour of configuration spaces as the number of objects in the configuration goes to infinity. For unordered configurations of distinct points (possibly equipped with some internal parameters) in a connected, open manifold it is a well-known result, going back to G. Segal and D. McDuff in the 1970s, that these spaces enjoy the property of homological stability.
In Chapter 2 we prove that this property also holds for so-called oriented confi...
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- Publication date:
- 2012
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- Oxford University, UK
- URN:
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uuid:7e056dbd-2cdd-4eac-9473-53f750371f9a
- Local pid:
- ora:6886
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Martin Palmer
- Copyright date:
- 2013
Thesis
Configuration spaces and homological stability
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