Linearly Ordered Theories which are Nearly Countably Categorical Full article
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Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2017, Volume: 101, Number: 3, Pages: 94-102 Pages count : 9 DOI: 10.1134/S0001434617030099 | ||||||||||
| Tags | linear order, almost ω-categoricity, 1-local ω-categoricity, Ehrenfeucht theory, weak o-minimality, quite o-minimality, binary theory, convexity rank | ||||||||||
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Abstract:
The notions of almost ω-categoricity and 1-local ω-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local ω-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost ω-categorical.
Cite:
Kulpeshov B.S.
, Sudoplatov S.V.
Linearly Ordered Theories which are Nearly Countably Categorical
Mathematical Notes. 2017. V.101. N3. P.94-102. DOI: 10.1134/S0001434617030099 WOS Scopus РИНЦ OpenAlex
Linearly Ordered Theories which are Nearly Countably Categorical
Mathematical Notes. 2017. V.101. N3. P.94-102. DOI: 10.1134/S0001434617030099 WOS Scopus РИНЦ OpenAlex
Original:
Кулпешов Б.Ш.
, Судоплатов С.В.
Линейно упорядоченные теории, близкие к счетно категоричным
Математические заметки. 2017. V.101. N3. P.413-424. DOI: 10.4213/mzm11094 РИНЦ OpenAlex
Линейно упорядоченные теории, близкие к счетно категоричным
Математические заметки. 2017. V.101. N3. P.413-424. DOI: 10.4213/mzm11094 РИНЦ OpenAlex
Dates:
| Submitted: | Jan 7, 2016 |
| Published print: | Apr 26, 2017 |
| Published online: | Apr 26, 2017 |
Identifiers:
| Web of science: | WOS:000401454600009 |
| Scopus: | 2-s2.0-85018833577 |
| Elibrary: | 41775743 |
| OpenAlex: | W2609024788 |