Let K be a compact connected Lie group, L be a closed subgroup of K. It is well known that L is a subgroup of maximal rank of K if and only if the Euler characteristic of the manifold K/L is positive. The homotopy classification of such homogeneous spaces KIL in case L is connected was obtained in .
A new class of compact spherical spaces
β Scribed by Yu. V. Dzyadyk
- Book ID
- 110547979
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 701 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
Let K be a compact connected Lie group, L be a connected closed subgroup of K. It is well known that L is a subgroup of maximal rank of K if and only if the Euler characteristic of the manifold M = K/L is positive. Such homogeneous spaces M have been classified in [7,10]. However, their topological
## Abstract Compact metric spaces Ο of such a kind, that πΉ~__f__~ =πΉ(__X__), are characterized, πΉ(__X__) is the Οβfield of BOREL sets and πΉ~__f__~(__X__) is the field generated by all open subset of __X__. Our main result is Theorem 5: If Ο is a compact metric space, then the following conditions a