We study automorphisms in the alternative set theory. We prove that fully revealed automorphisms are not closed under composition. We also construct some special automorphisms. We generalize the notion of revealment and Sd-class.
@article{116946, author = {Ji\v r\'\i\ Sgall and Anton\'\i n Sochor}, title = {Revealed automorphisms}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {32}, year = {1991}, pages = {105-113}, zbl = {0735.03026}, mrnumber = {1118293}, language = {en}, url = {http://dml.mathdoc.fr/item/116946} }
Sgall, Jiří; Sochor, Antonín. Revealed automorphisms. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 105-113. http://gdmltest.u-ga.fr/item/116946/
Models of the alternative set theory, JSL 49 (1984), 570-585. (1984) | MR 0745386
Notes on revealed classes, Comment. Math. Univ. Carolinae 26 (1985), 477-498. (1985) | MR 0817822 | Zbl 0583.03041
Endomorphic universes and their standard extensions, Comment. Math. Univ. Carolinae 20 (1979), 605-629. (1979) | MR 0555178
Revealments, Comment. Math. Univ. Carolinae 21 (1980), 97-118. (1980) | MR 0566243
Ultrafilters of sets, Comment. Math. Univ. Carolinae 22 (1981), 698-699. (1981) | MR 0647017
Constructions of classes by transfinite induction in AST, Comment. Math. Univ. Carolinae 30 (1989), 155-161. (1989) | MR 0995714
Constructions of endomorphic universes and similarities, Comment. Math. Univ. Carolinae 23 (1982), 557-577. (1982) | MR 0677863
Mathematics in the alternative set theory, Teubner-Texte, Leipzig, 1979. | MR 0581368