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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)
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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
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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