Homotopy classes of 2 disjoint 2p-spheres in ℝ3p+1

N. Habegger; U. Kaiser

doi:10.1016/0166-8641(95)00113-1

Homotopy classes of 2 disjoint 2p-spheres in ℝ^3p+1

N. Habegger, U. Kaiser

Mathematics Department

Nantes Université

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For p ≠ 3, 7, p > l, link homotopy classes of link maps S^2p ∪ S^2p → S^3p+1 are classified using the α-invariant. It is shown that any such link map is link homotopic to an embedded link. These results are obtained through a study of the homotopy type of the complement of the image of a map from one sphere to another.

Original language	English
Pages (from-to)	1-8
Number of pages	8
Journal	Topology and its Applications
Volume	71
Issue number	1
DOIs	https://doi.org/10.1016/0166-8641(95)00113-1
State	Published - 1996

Keywords

Embeddings
Link homotopy
Link maps
Whitehead product

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10.1016/0166-8641(95)00113-1

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title = "Homotopy classes of 2 disjoint 2p-spheres in ℝ3p+1",

abstract = "For p ≠ 3, 7, p > l, link homotopy classes of link maps S2p ∪ S2p → S3p+1 are classified using the α-invariant. It is shown that any such link map is link homotopic to an embedded link. These results are obtained through a study of the homotopy type of the complement of the image of a map from one sphere to another.",

keywords = "Embeddings, Link homotopy, Link maps, Whitehead product",

author = "N. Habegger and U. Kaiser",

year = "1996",

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T1 - Homotopy classes of 2 disjoint 2p-spheres in ℝ3p+1

AU - Habegger, N.

AU - Kaiser, U.

PY - 1996

Y1 - 1996

N2 - For p ≠ 3, 7, p > l, link homotopy classes of link maps S2p ∪ S2p → S3p+1 are classified using the α-invariant. It is shown that any such link map is link homotopic to an embedded link. These results are obtained through a study of the homotopy type of the complement of the image of a map from one sphere to another.

AB - For p ≠ 3, 7, p > l, link homotopy classes of link maps S2p ∪ S2p → S3p+1 are classified using the α-invariant. It is shown that any such link map is link homotopic to an embedded link. These results are obtained through a study of the homotopy type of the complement of the image of a map from one sphere to another.

KW - Embeddings

KW - Link homotopy

KW - Link maps

KW - Whitehead product

UR - http://www.scopus.com/inward/record.url?scp=0010019115&partnerID=8YFLogxK

U2 - 10.1016/0166-8641(95)00113-1

DO - 10.1016/0166-8641(95)00113-1

M3 - Article

AN - SCOPUS:0010019115

SN - 0016-660X

VL - 71

SP - 1

EP - 8

JO - Topology and its Applications

JF - Topology and its Applications

IS - 1

ER -

Homotopy classes of 2 disjoint 2p-spheres in ℝ^3p+1

Abstract

Keywords

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