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On Real Cohomology Generators of Compact Homogeneous Spaces

Authors: Svjetlana Terzić;

On Real Cohomology Generators of Compact Homogeneous Spaces

Abstract

In this paper we discuss the degrees of real cohomology generators of compact homogeneous spaces. We relate these degrees to rational homotopy groups and, furthermore, we discuss the formality and geometric formality of compact homogeneous spaces in the light of their cohomology generators. For generalized symmetric spaces the explicit formulas are obtained. 2000 Mathematics Subject Classification. 53C25, 57R57, 58A14, 57R17

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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