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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2023 Volume 87, Issue 6, Pages 49–75 (Mi im9359)

This article is cited in 1 paper

On the fibre structure of compact homogeneous spaces

V. V. Gorbatsevich


Abstract: The paper considers properties of several bundles (natural, structural and Borel ones) related to compact homogeneous spaces. Some results on elements of these bundles are proved, illustrative examples are given, counterexamples to some naturally arising assumptions are put forward.

Keywords: homogeneous space, natural fibration, structural fibration, structural group, fibre and base of fibration.

UDC: 515.765

MSC: 57S20, 22F30, 55R10

Received: 19.04.2022
Revised: 29.07.2022

DOI: 10.4213/im9359


 English version:
Izvestiya: Mathematics, 2023, 87:6, 1161–1184

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© Steklov Math. Inst. of RAS, 2025