Abstract
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We use a classifying space construction by Szűcs and Terpai to extend Salomonsen’s
exact sequence from cobordism groups of immersions to cobordism groups of
hyperplane projections of immersions with prescribed singularities. We apply this to
obtain results on these cobordism groups in small and large codimensional
cases.
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Keywords
projected immersion, cobordism of singular maps
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Mathematical Subject Classification
Primary: 57R90
Secondary: 57R42, 57R45
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Publication
Received: 30 October 2023
Accepted: 5 June 2024
Published: 11 August 2025
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