Academic Work

• ORCID
• Google scholar
• ResearchGate
• Scopus

Academic Group

• Topology

Sustainable Development Goals

Research interests

• Topological structure of different objects of Topological Algebra such as topological groups, paratopological groups, linear topological spaces, etc
• Cardinal invariants of topological spaces and (para)topological groups
• Special orders on topological spaces
• Generalizations of compactness: pseudo-compactness, countable compactness, Lindelofness
• Dimension theory of topological groups

Profile

Professor Mikhail Tkatchenko received his Ph.D. in Mathematics from Moscow State University, USSR, in 1981. He worked as a Professor in various institutions of higher education in the USSR. In 1993 he obtained an endowed professorship from CONACyT in Mexico, and since then, he has been working at the Universidad Autónoma Metropolitana (UAM) Iztapalapa Campus as a Professor of the Mathematics Department.

Since 1998 he has been a member of SNI, Level III. He has published two scientific books and about 193 research articles in international journals with a strict arbitration process. He has prepared six PhDs and four masters in Mathematics. Several others are about to graduate.

He has presented about 50 invited papers (plenary or semi-plenary) in national or international Topology congresses.

He made about 25 research stays in Australia, Brazil, China, Spain, Japan, Israel, Poland, and the Czech Republic.

He held several administrative positions at UAM, He served as a member of the Examining Committee in the years 1996-1997 and 1998-1999. He was the Graduate Coordinator of the Mathematics Department of the Iztapalapa Campus from June 2001 to March 2003. He served as Head of the Topology Area of the Department of Mathematics at Iztapalapa Campus from February 2004 to December 31, 2007 and from October 1, 2019 to the present.

Information provided by the academic staff

Research interests

Academic Work

On the following pages you can consult the research work:

• Google scholar

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• ResearchGate

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• Scopus

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• ORCID

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Academic Group

Consult the information provided by the Academic Group

• Topology

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Some examples of publications

Select the bibliographic reference to consult each publication:

Open Access	References	UN SDGs
	Reznichenko, E., Tkachenko, M. (2024).All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and C⁎-embedded. Topology and its Applications,341
	Tkachenko, M. (2023).A countably cellular topological group all of whose countable subsets are closed need not be R-factorizable. Commentationes Mathematicae Universitatis Carolinae,64(1) 127-135
	Tkachenko, M. (2023).The weight and i-weight of Lindelöf P-groups. European Journal of Mathematics,9(3)
	Tkachenko, M. (2022).Products of topological groups and ω-stability. Topology and its Applications,320
OA	Chasco, M.J., Domínguez, X., Tkachenko, M.G. (2022).Topological groups of Lipschitz functions and Graev metrics. Journal of Mathematical Analysis and Applications,508(1)
	Leiderman, A., Tkachenko, M. (2022).SOME PROPERTIES OF ONE-POINT EXTENSIONS. Topology Proceedings,59195-208
OA	Tkachenko, M.G. (2021).Factoring continuous characters defined on subgroups of products of topological groups. Axioms,10(3)
	Tkachenko, M.G., Xie, L.-H. (2021).Simply sm-factorizable (para)topological groups and their quotients. Topology and its Applications,301
OA	Banakh, T., Tkachenko, M. (2021).Weak completions of paratopological groups. Topology and its Applications,304
	Tkachenko, M. (2021).On C-embedded subspaces of weakly Lindelöf spaces. Topology and its Applications,302
	Zhang, H., He, W., Peng, D. and 1 more (...) (2021).On M-factorizable P-groups. Topology and its Applications,290
	He, W., Peng, D., Tkachenko, M. and 1 more (...) (2021).M-factorizable feathered topological groups. Topology and its Applications,289
	Márquez Rodríguez, E., Tkachenko, M. (2021).D-independent topological groups. Topology and its Applications,300
	He, W., Peng, D., Tkachenko, M. and 1 more (...) (2021).M-factorizability of products and τ-fine topological groups. Topology and its Applications,296
	Peng, D., He, W., Tkachenko, M. and 1 more (...) (2020).Successors of locally compact topological group topologies on abelian groups. Fundamenta Mathematicae,249(1) 71-93
	Tkachenko, M. (2020).Factoring continuous mappings defined on subspaces of topological products. Topology and its Applications,281
	Leiderman, A., Tkachenko, M. (2020).Separable quotients of free topological groups. Canadian Mathematical Bulletin,63(3) 610-623
	Leiderman, A., Tkachenko, M. (2020).Metrizable quotients of free topological groups. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas,114(3)
OA	Tkachenko, M. (2020).Continuous homomorphisms defined on (dense) submonoids of products of topological monoids. Axioms,9(1)
	Kozlov, K.L., van Mill, J., Tkachenko, M.G. (2020).Alexander Vladimirovich Arhangel'skii. Topology and its Applications,281
OA	Xie, L.-H., Tkachenko, M.G. (2020).Simply sm-factorizable (para)topological groups and their completions. Monatshefte fur Mathematik,193(2) 507-529
OA	Ferrer, M.V., Hernández, S., Tkachenko, M. (2020).On convergent sequences in dual groups. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas,114(2)
OA	He, W., Peng, D., Tkachenko, M. and 1 more (...) (2019).Gaps in the lattices of topological group topologies. Topology and its Applications,26086-103
OA	Leiderman, A.G., Morris, S.A., Tkachenko, M.G. (2019).The separable quotient problem for topological groups. Israel Journal of Mathematics,234(1) 331-369
OA	He, W., Peng, D., Tkachenko, M. and 1 more (...) (2019).Gaps in lattices of (para)topological group topologies and cardinal functions. Topology and its Applications,26489-104
	Tkachenko, M.G. (2019).Cellularity in quotient spaces of topological groups. Forum Mathematicum,31(2) 351-359
OA	Xiao, Z., Sánchez, I., Tkachenko, M. (2019).Topological groups whose closed subgroups are separable, and the product operation. Topology and its Applications,259365-377
	Fernández, M., Sánchez, I., Tkachenko, M. (2019).Coset spaces and cardinal invariants. Acta Mathematica Hungarica,159(2) 486-502
OA	Tamariz-Mascarúa, Á., Tkachenko, M.G. (2019). Remainders of products, topological groups and C p -spaces . Topology and its Applications,258358-377
OA	Tkachenko, M. (2019).Factoring continuous homomorphisms defined on submonoids of products of topologized monoids. Axioms,8(3)
OA	Leiderman, A.G., Tkachenko, M.G. (2018).Products of topological groups in which all closed subgroups are separable. Topology and its Applications,24189-101
OA	Arhangel'skii, A., Tkachenko, M. (2018).C-extensions of topological groups. Topology and its Applications,23554-72
	Tkachenko, M. (2018).Pseudocompact topological groups. Developments in Mathematics,5539-76
OA	Bello, H.J., Rodríguez, L., Tkachenko, M.G. (2017).Continuity properties of discontinuous homomorphisms and refinements of group topologies. Filomat,31(7) 2183-2188
OA	Hernández, C., Tkachenko, M. (2017).Reflecting some properties of topological groups. Topology and its Applications,221501-516
OA	Tkachenko, M.G. (2017).The weight and Lindelöf property in spaces and topological groups. Topology and its Applications,221465-475
	Tkachenko, M.G., Tkachuk, V.V., Hattori, Y. (2017).More reflections in small continuous images. Houston Journal of Mathematics,43(4) 1273-1289
	Sánchez, I., Tkachenko, M.G. (2017).A quasitopological modification of paratopological groups. Houston Journal of Mathematics,43(4) 1305-1321
	Sanchis, M., Tkachenko, M. (2017).Completions of paratopological groups and bounded sets. Monatshefte fur Mathematik,183(4) 699-721
	Błaszczyk, A., Tkachenko, M. (2017).Transversal, T1-independent, and T1-complementary topologies. Topology and its Applications,230308-337
OA	Leiderman, A.G., Morris, S.A., Tkachenko, M.G. (2017).Density character of subgroups of topological groups. Transactions of the American Mathematical Society,369(8) 5645-5664
OA	Chasco, M.J., Domínguez, X., Tkachenko, M. (2017).Duality properties of bounded torsion topological abelian groups. Journal of Mathematical Analysis and Applications,448(2) 968-981
OA	Morales, L., Tkachenko, M. (2016).Quotients of Strongly Realcompact Groups. Topological Algebra and its Applications,4(1) 9-17
OA	Bello, H.J., Chasco, M.J., Domínguez, X. and 1 more (...) (2016).Splittings and cross-sections in topological groups. Journal of Mathematical Analysis and Applications,435(2) 1607-1622
	Gotchev, I.S., Tkachenko, M.G., Tkachuk, V.V. (2016).Regular Gδ -diagonals and some upper bounds for cardinality of topological spaces. Acta Mathematica Hungarica,149(2) 324-337
OA	Leiderman, A.G., Tkachenko, M.G. (2016).Lattices of homomorphisms and pro-Lie groups. Topology and its Applications,2141-20
OA	Sánchez, I., Tkachenko, M.G. (2016).C-compact and r-pseudocompact subsets of paratopological groups. Topology and its Applications,203125-140
	Sánchez, I., Tkachenko, M.G. (2015).Products of bounded subsets of paratopological groups. Topology and its Applications,19042-58
	Tkachenko, M. (2015).Axioms of separation in paratopological groups and reflection functors. Topology and its Applications,179200-214
OA	Tkachenko, M.G., Tomita, A.H. (2015).Cellularity in subgroups of paratopological groups. Topology and its Applications,192188-197
	Tkachenko, M. (2015).Applications of the reflection functors in paratopological groups. Topology and its Applications,192176-187
OA	Tkachenko, M. (2015).Lindelöf ∑-spaces and ℝ-factorizable paratopological groups. Axioms,4(3) 254-267
OA	Hernández, C., Medina, L.R., Tkachenko, M. (2015).Baire property in product spaces. Applied General Topology,16(1) 1-13
OA	Tkachenko, M. (2014).Axioms of separation in semitopological groups and related functors. Topology and its Applications,161(1) 364-376
OA	Fernández, M., Tkachenko, M. (2014).Subgroups of paratopological groups and feebly compact groups. Applied General Topology,15(2) 235-248
OA	Galindo, J., Tkachenko, M., Bruguera, M. and 1 more (...) (2014).Reflexivity in precompact groups and extensions. Topology and its Applications,163(1) 112-127
OA	Tkachenko, M. (2013).Group reflection and precompact paratopological groups. Topological Algebra and its Applications,1(2013) 22-30
OA	Tkachenko, M. (2013).More on convergent sequences in free topological groups. Topology and its Applications,160(11) 1206-1213
	Lin, S., Tkachenko, M. (2013).Connected LCA groups are sequentially connected. Commentationes Mathematicae Universitatis Carolinae,54(2) 263-272	\| 12 \|
OA	Xie, L.-H., Lin, S., Tkachenko, M. (2013).Factorization properties of paratopological groups. Topology and its Applications,160(14) 1902-1917

Courses offered

*Courses are conducted in spanish

Num.	Trim.	Course Name	Level
1	23O	Proyecto de Investigación I	Licenciatura
2	23O	Calculo Integral	Licenciatura
3	23O	Topología General I	Posgrado
4	23O	Trabajo de Investigación II	Posgrado
5	23P	Introducción a la Investigación III	Posgrado
6	23I	Introducción a la Investigación II	Posgrado
7	23I	Trabajo de Investigación I	Posgrado
8	23I	Trabajo de Investigación VI	Posgrado
9	22O	Trabajo de Investigación V	Posgrado
10	22O	Introducción a la Investigación I	Posgrado
11	22P	Introducción a la Investigación III	Posgrado
12	22P	Trabajo de Investigación IV	Posgrado
13	22P	Trabajo de Investigación VI	Posgrado
14	22I	Calculo Integral	Licenciatura
15	22I	Introducción a la Investigación II	Posgrado
16	22I	Trabajo de Investigación III	Posgrado
17	22I	Trabajo de Investigación V	Posgrado
18	21O	Topología General I	Posgrado
19	21O	Introducción a la Investigación I	Posgrado
20	21O	Trabajo de Investigación II	Posgrado
21	21O	Trabajo de Investigación IV	Posgrado
22	21P	Variable Compleja I	Licenciatura
23	21P	Trabajo de Investigación I	Posgrado
24	21P	Trabajo de Investigación III	Posgrado
25	21I	Topología II	Licenciatura
26	21I	Topología General I	Posgrado
27	21I	Trabajo de Investigación II	Posgrado
28	20O	Proyecto de Investigación III	Licenciatura
29	20O	Análisis Complejo	Posgrado
30	20O	Trabajo de Investigación I	Posgrado
31	20P	Proyecto de Investigación II	Licenciatura
32	20P	Calculo Integral	Licenciatura
33	20I	Proyecto de Investigación I	Licenciatura
34	20I	Calculo Integral	Licenciatura

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