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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2019-20-2-186-197</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-604</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Article</subject></subj-group></article-categories><title-group><article-title>О двух подходах к классификации высших локальных полей</article-title><trans-title-group xml:lang="en"><trans-title>On two approaches to classification of higher local fields</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иванова</surname><given-names>Ольга Юрьевна</given-names></name><name name-style="western" xml:lang="en"><surname>Ivanova</surname><given-names>Olga</given-names></name></name-alternatives><email xlink:type="simple">olgaiv80@mail.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Востоков</surname><given-names>Сергей Владимирович</given-names></name><name name-style="western" xml:lang="en"><surname>Vostokov</surname><given-names>Sergei</given-names></name></name-alternatives><email xlink:type="simple">s.vostokov@spbu.ru</email></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Жуков</surname><given-names>Игорь Борисович</given-names></name><name name-style="western" xml:lang="en"><surname>Zhukov</surname><given-names>Igor</given-names></name></name-alternatives><email xlink:type="simple">i.zhukov@spbu.ru</email></contrib></contrib-group><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>23</day><month>01</month><year>2020</year></pub-date><volume>20</volume><issue>2</issue><fpage>186</fpage><lpage>197</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Иванова О.Ю., Востоков С.В., Жуков И.Б., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Иванова О.Ю., Востоков С.В., Жуков И.Б.</copyright-holder><copyright-holder xml:lang="en">Ivanova O., Vostokov S., Zhukov I.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.chebsbornik.ru/jour/article/view/604">https://www.chebsbornik.ru/jour/article/view/604</self-uri><abstract><p>.</p></abstract></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">H. Epp, Eliminating wild ramification, Invent. Math. 19 (1973), 235–249.</mixed-citation><mixed-citation xml:lang="en">H. Epp, Eliminating wild ramification, Invent. Math. 19 (1973), 235–249.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">O. Yu. Ivanova, On the relationship between Kurihara’s classification and the theory of ramification removal, Algebra i Analiz 24:2 (2012), 130–153; translation in St. Petersburg Math. J. 24:2 (2013), 283–299.</mixed-citation><mixed-citation xml:lang="en">O. Yu. Ivanova, On the relationship between Kurihara’s classification and the theory of ramification removal, Algebra i Analiz 24:2 (2012), 130–153; translation in St. Petersburg Math. J. 24:2 (2013), 283–299.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">O. Yu. Ivanova, Kurihara’s classification and extensions of the maximal depth for multidimensional local fields, Algebra i Analiz 24:6 (2012), 42–76; translation in St. Petersburg Math. J. 24:6 (2013), 877–901.</mixed-citation><mixed-citation xml:lang="en">O. Yu. Ivanova, Kurihara’s classification and extensions of the maximal depth for multidimensional local fields, Algebra i Analiz 24:6 (2012), 42–76; translation in St. Petersburg Math. J. 24:6 (2013), 877–901.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">K.Kato, A generalization of local class field theory by using K-groups, I, J. Fac. Sci. Univ. Tokyo. Sect. 1A Math 26(1979), 303–376.</mixed-citation><mixed-citation xml:lang="en">K.Kato, A generalization of local class field theory by using K-groups, I, J. Fac. Sci. Univ. Tokyo. Sect. 1A Math 26(1979), 303–376.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">K.Kato, A generalization of local class field theory by using K-groups, II, J. Fac. Sci. Univ. Tokyo. Sect. 1A Math 27(1980), 603–683.</mixed-citation><mixed-citation xml:lang="en">K.Kato, A generalization of local class field theory by using K-groups, II, J. Fac. Sci. Univ. Tokyo. Sect. 1A Math 27(1980), 603–683.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">M. V. Koroteev, I. B. Zhukov, Elimination of wild ramification, Algebra i Analiz 11 (1999), 153–177; translation in St. Petersburg Math. J. 11 (2000), 1063–1083.</mixed-citation><mixed-citation xml:lang="en">M. V. Koroteev, I. B. Zhukov, Elimination of wild ramification, Algebra i Analiz 11 (1999), 153–177; translation in St. Petersburg Math. J. 11 (2000), 1063–1083.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">M. Kurihara, On two types of complete discrete valuation fields, Compos. Math. 63 (1987), 237–257</mixed-citation><mixed-citation xml:lang="en">M. Kurihara, On two types of complete discrete valuation fields, Compos. Math. 63 (1987), 237–257</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">A. I. Madunts, I. B. Zhukov, Multidimensional complete fields: topology and other basic constructions, Proceedings of the St. Petersburg Mathematical Society, Vol. III, 1–34, Amer. Math. Soc. Transl. Ser. 2, 166, Amer. Math. Soc., Providence, RI, 1995.</mixed-citation><mixed-citation xml:lang="en">A. I. Madunts, I. B. Zhukov, Multidimensional complete fields: topology and other basic constructions, Proceedings of the St. Petersburg Mathematical Society, Vol. III, 1–34, Amer. Math. Soc. Transl. Ser. 2, 166, Amer. Math. Soc., Providence, RI, 1995.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">J.Milnor, Algebraic K-Theory and Quadratic Forms , Inventiones math. 9(1970), 318-344.</mixed-citation><mixed-citation xml:lang="en">J.Milnor, Algebraic K-Theory and Quadratic Forms , Inventiones math. 9(1970), 318-344.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">А. Н. Паршин, Поля классов и алгебраическая K-теория, УМН, 30:1(181) (1975), 253–254.</mixed-citation><mixed-citation xml:lang="en">А. Н. Паршин, Поля классов и алгебраическая K-теория, УМН, 30:1(181) (1975), 253–254.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">А. Н. Паршин, Локальная теория полей классов, Труды мат. ин-та АН СССР 165(1985), 143–170.</mixed-citation><mixed-citation xml:lang="en">А. Н. Паршин, Локальная теория полей классов, Труды мат. ин-та АН СССР 165(1985), 143–170.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">L. Xiao, I. Zhukov, Ramification in the imperfect residue field case, approaches and questions, Algebra i Analiz 26 (2014), 1—63; translation in St. Petersburg Math. J. 26 (2015), 695–740.</mixed-citation><mixed-citation xml:lang="en">L. Xiao, I. Zhukov, Ramification in the imperfect residue field case, approaches and questions, Algebra i Analiz 26 (2014), 1—63; translation in St. Petersburg Math. J. 26 (2015), 695–740.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">И. Б. Жуков, Структурная теорема для полных полей, Тр. С.-Петербург. мат. общ-ва 3(1995), 194—214.</mixed-citation><mixed-citation xml:lang="en">И. Б. Жуков, Структурная теорема для полных полей, Тр. С.-Петербург. мат. общ-ва 3(1995), 194—214.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">I. Zhukov, Higher dimensional local fields, (Münster, 1999), Geom. Topol. Monogr., vol. 3, Geom. Topol. Publ., Coventry, 2000, pp. 5–18.</mixed-citation><mixed-citation xml:lang="en">I. Zhukov, Higher dimensional local fields, (Münster, 1999), Geom. Topol. Monogr., vol. 3, Geom. Topol. Publ., Coventry, 2000, pp. 5–18.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">I. B. Zhukov, G. K. Pak, Approximation approach to ramification theory, Algebra i Analiz 27:6 (2015), 150–162; translation in St. Petersburg Math. J. 27 (2016), 967–976.</mixed-citation><mixed-citation xml:lang="en">I. B. Zhukov, G. K. Pak, Approximation approach to ramification theory, Algebra i Analiz 27:6 (2015), 150–162; translation in St. Petersburg Math. J. 27 (2016), 967–976.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
