Phantom maps from a strong homology viewpoint

Dae Woong Lee

doi:10.1007/s10114-005-0597-2

Phantom maps from a strong homology viewpoint

Dae Woong Lee^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

Let X and Y be connected nilpotent CW-complexes of finite type. In this paper we deal with another complete analysis of a set of phantom maps in terms of strong homology by using the derived functors. We also prove that the set of homotopy classes of maps is independent of the choice of both rational homotopy equivalent classes and completion genera.

Original language	English
Pages (from-to)	711-718
Number of pages	8
Journal	Acta Mathematica Sinica, English Series
Volume	22
Issue number	3
DOIs	https://doi.org/10.1007/s10114-005-0597-2
State	Published - 2006.05

Keywords

Derived limit
Phantom map
Profinite completion
Rational equivalence
Strong homology

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1007/s10114-005-0597-2

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title = "Phantom maps from a strong homology viewpoint",

abstract = "Let X and Y be connected nilpotent CW-complexes of finite type. In this paper we deal with another complete analysis of a set of phantom maps in terms of strong homology by using the derived functors. We also prove that the set of homotopy classes of maps is independent of the choice of both rational homotopy equivalent classes and completion genera.",

keywords = "Derived limit, Phantom map, Profinite completion, Rational equivalence, Strong homology",

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AU - Lee, Dae Woong

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N2 - Let X and Y be connected nilpotent CW-complexes of finite type. In this paper we deal with another complete analysis of a set of phantom maps in terms of strong homology by using the derived functors. We also prove that the set of homotopy classes of maps is independent of the choice of both rational homotopy equivalent classes and completion genera.

AB - Let X and Y be connected nilpotent CW-complexes of finite type. In this paper we deal with another complete analysis of a set of phantom maps in terms of strong homology by using the derived functors. We also prove that the set of homotopy classes of maps is independent of the choice of both rational homotopy equivalent classes and completion genera.

KW - Derived limit

KW - Phantom map

KW - Profinite completion

KW - Rational equivalence

KW - Strong homology

UR - https://www.scopus.com/pages/publications/33746458462

U2 - 10.1007/s10114-005-0597-2

DO - 10.1007/s10114-005-0597-2

M3 - Journal article

AN - SCOPUS:33746458462

SN - 1439-8516

VL - 22

SP - 711

EP - 718

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 3

ER -

Phantom maps from a strong homology viewpoint

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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