Milnor's μ-invariants, Massey products and Whitney's trick in 4 dimensions

Sadayoshi Kojima

doi:10.1016/0166-8641(83)90006-8

Milnor's μ-invariants, Massey products and Whitney's trick in 4 dimensions

Sadayoshi Kojima^*

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

We present the failure of Whitney's lemma in dimension 4 from the homotopical and topological viewpoints. Those are detected by Massey products. The invariants for the examples represented by framed links are computed in terms of Milnor's μ-invariants.

Original language	English
Pages (from-to)	43-60
Number of pages	18
Journal	Topology and its Applications
Volume	16
Issue number	1
DOIs	https://doi.org/10.1016/0166-8641(83)90006-8
Publication status	Published - 1983 Jul
Externally published	Yes

ASJC Scopus subject areas

Geometry and Topology

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10.1016/0166-8641(83)90006-8

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title = "Milnor's μ-invariants, Massey products and Whitney's trick in 4 dimensions",

abstract = "We present the failure of Whitney's lemma in dimension 4 from the homotopical and topological viewpoints. Those are detected by Massey products. The invariants for the examples represented by framed links are computed in terms of Milnor's μ-invariants.",

author = "Sadayoshi Kojima",

year = "1983",

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AU - Kojima, Sadayoshi

PY - 1983/7

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AB - We present the failure of Whitney's lemma in dimension 4 from the homotopical and topological viewpoints. Those are detected by Massey products. The invariants for the examples represented by framed links are computed in terms of Milnor's μ-invariants.

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JF - Topology and its Applications

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Milnor's μ-invariants, Massey products and Whitney's trick in 4 dimensions

Abstract

ASJC Scopus subject areas

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