An analogue of Künneth theorem in strong homology

Dae Woong Lee

doi:10.1016/s0252-9602(17)30452-6

An analogue of Künneth theorem in strong homology

Dae Woong Lee^*

^*Corresponding author for this work

Department of Mathematics

Myungshin University

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

1 Scopus citations

Abstract

After defining the strong tensor product of strong (sub)chain complexes, it is shown that an analogue of the Künneth theorem holds in strong homology by proving that the kernel (cokernel) of connecting homomorphisms is isomorphic to the direct sum of torsion (tensor) products of strong homology groups. An isomorphism between strong (τ-stage) homology groups of inverse systems is also constructed.

Original language	English
Pages (from-to)	32-40
Number of pages	9
Journal	Acta Mathematica Scientia
Volume	22
Issue number	1
DOIs	https://doi.org/10.1016/s0252-9602(17)30452-6
State	Published - 2002.01

Keywords

Derived limit
Mittag-Leffler property
Strong (τ-stage) homology
Strong tensor product

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10.1016/s0252-9602(17)30452-6

Cite this

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abstract = "After defining the strong tensor product of strong (sub)chain complexes, it is shown that an analogue of the K{\"u}nneth theorem holds in strong homology by proving that the kernel (cokernel) of connecting homomorphisms is isomorphic to the direct sum of torsion (tensor) products of strong homology groups. An isomorphism between strong (τ-stage) homology groups of inverse systems is also constructed.",

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AB - After defining the strong tensor product of strong (sub)chain complexes, it is shown that an analogue of the Künneth theorem holds in strong homology by proving that the kernel (cokernel) of connecting homomorphisms is isomorphic to the direct sum of torsion (tensor) products of strong homology groups. An isomorphism between strong (τ-stage) homology groups of inverse systems is also constructed.

KW - Derived limit

KW - Mittag-Leffler property

KW - Strong (τ-stage) homology

KW - Strong tensor product

UR - https://www.scopus.com/pages/publications/27744452173

U2 - 10.1016/s0252-9602(17)30452-6

DO - 10.1016/s0252-9602(17)30452-6

M3 - Journal article

AN - SCOPUS:27744452173

SN - 0252-9602

VL - 22

SP - 32

EP - 40

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 1

ER -

An analogue of Künneth theorem in strong homology

Abstract

Keywords

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