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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Let G, H be unimodular locally compact groups with fixed normalizations of Haar measures γ and η. A polyhomomorphism G→H is a closed subgroup R⊂G×H with fixed normalization of the Haar measure such that pushforwards of measure ρ to G and H are dominated by γ and η respectively. The set of all polyhomomorphisms G→H is a compact space with respect to the Chabauty topology. For polyhomomorphisms G1→G2 and G2→G3 there is a well-defined product G1→G3, so we get a category of polyhomomorphisms. We discuss some properties of this category and some examples.