Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2005, Volume 77, Issue 2, Pages 194–212
DOI: https://doi.org/10.4213/mzm2490 (Mi mzm2490) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Local set theory

V. K. Zakharov

Centre for New Information Technologies, Moscow State University
Full-text PDF (274 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm2490
Abstract: In 1945, Eilenberg and MacLane introduced the new mathematical notion of category. Unfortunately, from the very beginning, category theory did not fit into the framework of either Zermelo–Fraenkel set theory or even von Neumann–Bernays–Gödel set-class theory. For this reason, in 1959, MacLane posed the general problem of constructing a new, more flexible, axiomatic set theory which would be an adequate logical basis for the whole of naïve category theory. In this paper, we give axiomatic foundations for local set theory. This theory might be one of the possible solutions of the MacLane problem.
Received: 16.12.2002
Revised: 18.02.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 2, Pages 177–193
DOI: https://doi.org/10.1007/s11006-005-0019-x
Bibliographic databases:
UDC: 510.2
Language: Russian
Citation: V. K. Zakharov, “Local set theory”, Mat. Zametki, 77:2 (2005), 194–212; Math. Notes, 77:2 (2005), 177–193
Citation in format AMSBIB
\Bibitem{Zak05}
\by V.~K.~Zakharov
\paper Local set theory
\jour Mat. Zametki
\yr 2005
\vol 77
\issue 2
\pages 194--212
\mathnet{http://mi.mathnet.ru/mzm2490}
\crossref{https://doi.org/10.4213/mzm2490}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157090}
\zmath{https://zbmath.org/?q=an:1073.03031}
\elib{https://elibrary.ru/item.asp?id=9150069}
\transl
\jour Math. Notes
\yr 2005
\vol 77
\issue 2
\pages 177--193
\crossref{https://doi.org/10.1007/s11006-005-0019-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227418800019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-20144367986}
Linking options:
  • https://www.mathnet.ru/eng/mzm2490
  • https://doi.org/10.4213/mzm2490
  • https://www.mathnet.ru/eng/mzm/v77/i2/p194
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:688
    Full-text PDF :308
    References:55
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024