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math.GT2006★ 1 cited
Splitting along a submanifold pair
R. Jimenez, Yu. V. Muranov, D. Repovš
The paper introduces a group of obstructions for splitting a homotopy equivalence along a pair of submanifolds. We develop exact sequences relating the -groups with vari…
math.GT2006★ 1 cited
Surgery spectral sequence and stratified manifolds
R. Jimenez, Yu. V. Muranov, D. Repovš
Cappell and Shaneson pointed out in 1978 interesting properties of Browder - Livesay invariants which are similar to differentials in some spectral sequence. Such spectral sequence…