群上のMarkov-Zariski位相の構造とコンパクト型位相群の収束性質の研究

トップ›研究者を探す›群上のMarkov-Zariski位相の構造とコンパクト型位相群の収束性質の研究

群上のMarkov-Zariski位相の構造とコンパクト型位相群の収束性質の研究

代表研究者	D.B. Shakhmatov
研究課題番号	KAKENHI-PROJECT-19540092
研究種目	基盤研究(C)
研究分野	理工系数物系科学数学幾何学
研究機関	愛媛大学
研究分担者	野倉嗣紀
研究分担者	藤田博司
研究期間開始年月日	2007/4/1
研究期間終了年度	2009
研究ステータス	完了 (2009/4/1)
配分額（合計）	4,290,000 (直接経費 :3,300,000、間接経費 :990,000)
配分額（履歴）	2009年度：1,300,000 (直接経費 :1,000,000、間接経費 :300,000) 2008年度：1,430,000 (直接経費 :1,100,000、間接経費 :330,000) 2007年度：1,560,000 (直接経費 :1,200,000、間接経費 :360,000)
キーワード	トポロジー代数学位相群コンパクト収束性

研究成果

[雑誌論文] Quasiconvex density and determining subgroups of compact abelian groups (with D. Dikranjan)

D. Dikranjan; D. Shakhmatov 2010

[雑誌論文] Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density

D.Dikranjan, D.Shakhmatov 2010

[雑誌論文] Quasi-convex density and determining subgroups of compact abelian groups

D.Dikranjan, D.Shakhmatov 2010

[雑誌論文] Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density

D. Dikranjan; D. Shakhmatov 2010

[雑誌論文] Group-valued continuous functions with the topology of pointwise convergence

D.Shakhmatov, J.Spevak 2010

[雑誌論文] Group-valued continuous functions with the topology of pointwise convergence

D. Shakhmatov; J. Spevak 2010

[雑誌論文] Weak orderability of topological spaces

V. Gutev; T. Nogura 2010

[雑誌論文] Set-maximal selections

V. Gutev; T. Nogura 2010

[雑誌論文] On difference property of Borel measurable functions

H. Fujita; T. Matrai 2010

[学会発表] Hewitt-Marczewski- Pondiczery type theorem for abelian groups and Markov's potential density

D. Shakhmatov 2009

[雑誌論文] Minimal pseudocompact group topologies on free abelian groups

D. Dikranjan; A. Giordano Bruno; D. Shakhmatov 2009

[雑誌論文] Building suitable sets for locally compact groups by means of continuous selections

D. Shakhmatov 2009

[雑誌論文] Minimal pseudocompact group topologies on free abelian groups

D.Dikranjan, A.Giordano Bruno, D.Shakhmatov 2009

[雑誌論文] Building suitable sets for locally compact groups by Means of continuous selections

D. Shakhmatov 2009

[学会発表] Hewitt-Marczewski-Pondiczery type theorem for abelian groups and Markov's potential density

D.Shakhmatov 2009

[学会発表] Group-valued continuous functions with the topology of point-wise convergence

D. Shakhmatov; J. Spevak 2009

[学会発表] Selections and Dimension

T. Nogura 2009

[雑誌論文] Weak regularity and consecutive topologizations and regularizations of pretopologies

S. Dolecki; H. Kunzi; T. Nogura 2009

[雑誌論文] Weak regularity and consecutive topologizations and regularizations of pretopologies

S. Dolecki, H. Kunzi, T. Nogura 2009

[雑誌論文] Abundance of sigma-compact non-compactly generated groups witnessed by the Bohr topology of an abelian group

D. Dikranjan; D. Shakhmatov 2008

[雑誌論文] Reflection principle characterizing groups in which unconditionally closed sets are algebraic

D. Dikranjan; D. Shakhmatov 2008

[学会発表] Advances in Set-Theoretic Topology

D. Shakhmatov, Strong S, L groups 2008

[雑誌論文] Abundance of sigma-compact non-compactly generated groups witnessed by the Bohr topology of an abelian group

D. Dikranjan, D. Shakhmatov 2008

[学会発表] Strong S and L groups

D. Shakhmatov 2008

[雑誌論文] Reflection principle characterizing groups in which all unconditionally closed sets are algebraic

D. Dikranjan, D, Shakhmatov 2008

[雑誌論文] Selections and totally disconnected spaces

V. Gutev; T. Nogura 2008

[雑誌論文] Selections and totally disconnected spaces

V. Gutev, T. Nogura 2008

[学会発表] Continuous selections and Dimensions

T. Nogura 2008

[学会発表] Extreme selections and dimensions

T. Nogura 2008

[雑誌論文] Weak selections and flows in networks

V. Gutev; T. Nogura 2008

[雑誌論文] Extensions of 2-point selections

S. Garcia-Ferreira; V. Gutev; T. Nogura 2008

[雑誌論文] Extensions of 2-point selections

V. Gutev, S. Garcia-Ferreira, T. Nogura 2008

[雑誌論文] Weak selections and flows in networks

V. Gutev, T. Nogura 2008

[学会発表] A partial answer to a problem of M. Laczkowich concerning the difference property of Borel measurable functions

H. Fujita 2008

[学会発表] Solutions to 1944 problems of Markov

D.Shakhmatov 2007

[学会発表] Solutions to 1944 problems of Markov

D. Shakhmatov 2007

[学会発表] Selections and dimensions

野倉嗣紀 2007

[雑誌論文] Convergence properties of hyperspaces

G. di Maio, Lj. Kocinac, T. Nogura 2007

[雑誌論文] Convergence properties of hyperspaces

G. Di Maio; Lj Kocinac; T. Nogura 2007

[学会発表] Selections and Dimensions

T. Nogura 2007

[雑誌論文] Remarks on two problems by M.Laczkovich on functions with Borel measurable differences

H. Fujita 2007

[雑誌論文] Remarks on two problems by M. Laczkovich on functions with Borel measurable differences

H. Fujita 2007

[雑誌論文] The Markov-Zariski topology of an abelian group

D. Dikranjan; D. Shakhmatov

[雑誌論文] The Markov-Zariski topology of an abelian group

D.Dikranjan, D.Shakhmatov