# Topological automorphism groups of chains.

Mathware and Soft Computing (2001)

- Volume: 8, Issue: 1, page 47-60
- ISSN: 1134-5632

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topOvchinnikov, Sergei V.. "Topological automorphism groups of chains.." Mathware and Soft Computing 8.1 (2001): 47-60. <http://eudml.org/doc/39188>.

@article{Ovchinnikov2001,

abstract = {It is shown that any set-open topology on the automorphism group A(X) of a chain X coincides with the pointwise topology and that A(X) is a topological group with respect to this topology. Topological properties of connectedness and compactness in A(X) are investigated. In particular, it is shown that the automorphism group of a doubly homogeneous chain is generated by any neighborhood of the identity element.},

author = {Ovchinnikov, Sergei V.},

journal = {Mathware and Soft Computing},

keywords = {Grupos de automorfismos; Robustez; chain; automorphism group; topological lattice-ordered group; robustness; aggregation procedures},

language = {eng},

number = {1},

pages = {47-60},

title = {Topological automorphism groups of chains.},

url = {http://eudml.org/doc/39188},

volume = {8},

year = {2001},

}

TY - JOUR

AU - Ovchinnikov, Sergei V.

TI - Topological automorphism groups of chains.

JO - Mathware and Soft Computing

PY - 2001

VL - 8

IS - 1

SP - 47

EP - 60

AB - It is shown that any set-open topology on the automorphism group A(X) of a chain X coincides with the pointwise topology and that A(X) is a topological group with respect to this topology. Topological properties of connectedness and compactness in A(X) are investigated. In particular, it is shown that the automorphism group of a doubly homogeneous chain is generated by any neighborhood of the identity element.

LA - eng

KW - Grupos de automorfismos; Robustez; chain; automorphism group; topological lattice-ordered group; robustness; aggregation procedures

UR - http://eudml.org/doc/39188

ER -

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