On the Browder--Levine--Novikov Embedding Theorems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology and set theory, Tome 247 (2004), pp. 280-290
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In this survey, we apply the concepts of complement and neighborhood to embeddings of manifolds into Euclidean space (in a codimension of at least three). We describe how a combination of these concepts gives a reduction of the embeddability and isotopy problems to algebraic problems. We also present a modern exposition of the Browder–Levine theorem on the realization of normal systems.
@article{TM_2004_247_a20,
author = {M. Cencelj and D. Repov\v{s} and A. B. Skopenkov},
title = {On the {Browder--Levine--Novikov} {Embedding} {Theorems}},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {280--290},
publisher = {mathdoc},
volume = {247},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TM_2004_247_a20/}
}
TY - JOUR AU - M. Cencelj AU - D. Repovš AU - A. B. Skopenkov TI - On the Browder--Levine--Novikov Embedding Theorems JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2004 SP - 280 EP - 290 VL - 247 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TM_2004_247_a20/ LA - ru ID - TM_2004_247_a20 ER -
M. Cencelj; D. Repovš; A. B. Skopenkov. On the Browder--Levine--Novikov Embedding Theorems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometric topology and set theory, Tome 247 (2004), pp. 280-290. http://geodesic.mathdoc.fr/item/TM_2004_247_a20/