B. I. Zil′ber. Totally categorical theories: structural properties and the non-finite axiomatizability. Model theory of algebra and arithmetic, Proceedings of the conference on applications of logic to algebra and arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 381–410. - B. I. Zil′ber. Strongly minimal countably categorical theories. Siberian mathematical journal, vol. 21 no. 2 (for 1980, pub. 1981), pp. 219–230. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, Sibirskiimatematicheskii zhurnal. vol. 21 no. 2 (1980), pp. 98-112.) - B. I. Zil′ber. Strongly minimal countably categorical theories. II. Ibid., vol. 25 no. 3 (for 1984, pub. 1985), pp. 396-412. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, II, ibid., vol. 25 no. 3 (1984), pp. 71-88.) - B. I. Zil′ber. Strongly minimal countably categorical theories. III. Ibid., vol. 25 no. 4 (for 1984, pub. 1985), pp. 559-571. (English translation of Sil'no minimal'nye schetno-kategorichnye teorii, III, ibid., vol. 25 no. 4 (1984), pp. 63-77.) - B. I. Zil′ber. Totally categorical structures and combinatorial geometries. Soviet mathematics–Doklady, vol. 24 no. 1 (for 1981, pub. 1982), pp. 149-151. (English translation by E. Mendelson of Total′no kategorichnye struktury i kombinatornye geometrii, Doklady Akademii Nauk SSSR, vol. 259 (1981), pp. 1039-1041.) - B. I. Zil′ber The structure of models of uncountably categorical theories. Proceedings of the International Congress of Mathematicians, August 16–24,1983, Warszawa, Volume 1, PWN—Polish Scientific Publishers, Warsaw, and North-Holland, Amsterdam, New York, and Oxford, 1984, pp. 359-368.

Ehud Hrushovski

doi:10.2307/2275229

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

B. I. Zil′ber. Totally categorical theories: structural properties and the non-finite axiomatizability. Model theory of algebra and arithmetic, Proceedings of the conference on applications of logic to algebra and arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 381–410. - B. I. Zil′ber. Strongly minimal countably categorical theories. Siberian mathematical journal, vol. 21 no. 2 (for 1980, pub. 1981), pp. 219–230. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, Sibirskiimatematicheskii zhurnal. vol. 21 no. 2 (1980), pp. 98-112.) - B. I. Zil′ber. Strongly minimal countably categorical theories. II. Ibid., vol. 25 no. 3 (for 1984, pub. 1985), pp. 396-412. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, II, ibid., vol. 25 no. 3 (1984), pp. 71-88.) - B. I. Zil′ber. Strongly minimal countably categorical theories. III. Ibid., vol. 25 no. 4 (for 1984, pub. 1985), pp. 559-571. (English translation of Sil'no minimal'nye schetno-kategorichnye teorii, III, ibid., vol. 25 no. 4 (1984), pp. 63-77.) - B. I. Zil′ber. Totally categorical structures and combinatorial geometries. Soviet mathematics–Doklady, vol. 24 no. 1 (for 1981, pub. 1982), pp. 149-151. (English translation by E. Mendelson of Total′no kategorichnye struktury i kombinatornye geometrii, Doklady Akademii Nauk SSSR, vol. 259 (1981), pp. 1039-1041.) - B. I. Zil′ber The structure of models of uncountably categorical theories. Proceedings of the International Congress of Mathematicians, August 16–24,1983, Warszawa, Volume 1, PWN—Polish Scientific Publishers, Warsaw, and North-Holland, Amsterdam, New York, and Oxford, 1984, pp. 359-368.

Your Kindle email address

@free.kindle.com @kindle.com (service fees apply)

Available formats PDF

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

B. I. Zil′ber. Totally categorical theories: structural properties and the non-finite axiomatizability. Model theory of algebra and arithmetic, Proceedings of the conference on applications of logic to algebra and arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 381–410. - B. I. Zil′ber. Strongly minimal countably categorical theories. Siberian mathematical journal, vol. 21 no. 2 (for 1980, pub. 1981), pp. 219–230. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, Sibirskiimatematicheskii zhurnal. vol. 21 no. 2 (1980), pp. 98-112.) - B. I. Zil′ber. Strongly minimal countably categorical theories. II. Ibid., vol. 25 no. 3 (for 1984, pub. 1985), pp. 396-412. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, II, ibid., vol. 25 no. 3 (1984), pp. 71-88.) - B. I. Zil′ber. Strongly minimal countably categorical theories. III. Ibid., vol. 25 no. 4 (for 1984, pub. 1985), pp. 559-571. (English translation of Sil'no minimal'nye schetno-kategorichnye teorii, III, ibid., vol. 25 no. 4 (1984), pp. 63-77.) - B. I. Zil′ber. Totally categorical structures and combinatorial geometries. Soviet mathematics–Doklady, vol. 24 no. 1 (for 1981, pub. 1982), pp. 149-151. (English translation by E. Mendelson of Total′no kategorichnye struktury i kombinatornye geometrii, Doklady Akademii Nauk SSSR, vol. 259 (1981), pp. 1039-1041.) - B. I. Zil′ber The structure of models of uncountably categorical theories. Proceedings of the International Congress of Mathematicians, August 16–24,1983, Warszawa, Volume 1, PWN—Polish Scientific Publishers, Warsaw, and North-Holland, Amsterdam, New York, and Oxford, 1984, pp. 359-368.

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

B. I. Zil′ber. Totally categorical theories: structural properties and the non-finite axiomatizability. Model theory of algebra and arithmetic, Proceedings of the conference on applications of logic to algebra and arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 381–410. - B. I. Zil′ber. Strongly minimal countably categorical theories. Siberian mathematical journal, vol. 21 no. 2 (for 1980, pub. 1981), pp. 219–230. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, Sibirskiimatematicheskii zhurnal. vol. 21 no. 2 (1980), pp. 98-112.) - B. I. Zil′ber. Strongly minimal countably categorical theories. II. Ibid., vol. 25 no. 3 (for 1984, pub. 1985), pp. 396-412. (English translation of Sil′no minimal′nye schetno kategorichnye teorii, II, ibid., vol. 25 no. 3 (1984), pp. 71-88.) - B. I. Zil′ber. Strongly minimal countably categorical theories. III. Ibid., vol. 25 no. 4 (for 1984, pub. 1985), pp. 559-571. (English translation of Sil'no minimal'nye schetno-kategorichnye teorii, III, ibid., vol. 25 no. 4 (1984), pp. 63-77.) - B. I. Zil′ber. Totally categorical structures and combinatorial geometries. Soviet mathematics–Doklady, vol. 24 no. 1 (for 1981, pub. 1982), pp. 149-151. (English translation by E. Mendelson of Total′no kategorichnye struktury i kombinatornye geometrii, Doklady Akademii Nauk SSSR, vol. 259 (1981), pp. 1039-1041.) - B. I. Zil′ber The structure of models of uncountably categorical theories. Proceedings of the International Congress of Mathematicians, August 16–24,1983, Warszawa, Volume 1, PWN—Polish Scientific Publishers, Warsaw, and North-Holland, Amsterdam, New York, and Oxford, 1984, pp. 359-368.

Reply to: Submit a response

Title * Please enter a title for your response.

Contents * Please enter your response.

Your details

First name * Please enter your first name.

Last name * Please enter your last name.

Please enter a valid email address.

Occupation Please enter your occupation.

Affiliation Please enter any affiliation.

You have entered the maximum number of contributors

Conflicting interests

Do you have any conflicting interests? * Conflicting interests help

Yes No

More information * Please enter details of the conflict of interest or select 'No'.

Please tick the box to confirm you agree to our Terms of use. *

Please accept terms of use.

Please tick the box to confirm you agree that your name, comment and conflicts of interest (if accepted) will be visible on the website and your comment may be printed in the journal at the Editor’s discretion. *

Please confirm you agree that your details will be displayed.

Article contents

Abstract

Access options

References