SET IDEALS WITH ISOMORPHIC SYMMETRY GROUPS
2002 ◽
Vol 34
(1)
◽
pp. 37-45
Keyword(s):
A criterion of isomorphism for symmetry groups of set ideals is provided in terms of ideal quotients and cardinal invariants. Furthermore, set ideals with complete symmetry group are characterized. They form a wide class, comprising, for example, all uniform dense ideals and the ideals of ‘thin’ sets in separable metric spaces. If the symmetry group of a set ideal is not complete, then its outer automorphism group is shown to be cyclic of order 2.
2001 ◽
Vol 64
(3)
◽
pp. 565-575
◽
1985 ◽
Vol 38
(3)
◽
pp. 394-407
◽
2018 ◽
Vol 17
(07)
◽
pp. 1850122
◽
1952 ◽
Vol 20
(12)
◽
pp. 1964-1965
◽
2006 ◽
Vol 13
(3)
◽
pp. 377-392
◽
Keyword(s):
2002 ◽
Vol 131
(1)
◽
pp. 277-284
◽
2015 ◽
Vol 367
(10)
◽
pp. 6837-6876
2006 ◽
Vol 359
(5)
◽
pp. 1959-1976
◽