Topological automorphism groups of chains.

Ovchinnikov, 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 -