Academic Work

• ORCID
• Google scholar
• ResearchGate
• Scopus

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

• 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

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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Some examples of publications

Select the bibliographic reference to consult each publication:

Open Access	References	UN SDGs
OA	Tkachenko, M. (2026).Complements of closed subsets of Lindelöf topological groups. Topology and its Applications,385
OA	Tkachenko, M. (2026).Equivalence of some factorization properties in topological algebra. Filomat,40(2) 619-648
OA	Reyes Cassiani, B., Tkachenko, M. (2026).HM-equivalence, cellularity and 2-pseudocompactness in paratopological and semitopological groups. Topology and its Applications,394
OA	Reznichenko, E.A., Tkachenko, M.G. (2026).Regular rigid Korovin orbits. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas,120(1)
OA	Reyes, B., Tkachenko, M. (2026).The Hartman–Mycielski construction and topological monomorphisms. Applied General Topology,27(2)
OA	Alqahtani, M.H., Tkachenko, M. (2025).Normality and N-factorizable topological groups. Topology and its Applications,373
	Tkachenko, M. (2025).On the preservation of topological properties under group multiplication in topological groups. Topology and its Applications,367
	Tkachenko, M. (2025).All Hartman–Mycielski groups are minimally almost periodic. Topology and its Applications,364
OA	Leiderman, A.G., Tkachenko, M.G. (2024).Embedding the free topological group F(Xn) into F(X). Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas,118(3)
	Tkachenko, M. (2024).Locally homeomorphic infinite Lindelof P-groups are homeomorphic. Topology and its Applications,355
	Reznichenko, E., Tkachenko, M. (2024).All countable subsets of pseudocompact quasitopological Korovin groups are closed, discrete and C⁎-embedded. Topology and its Applications,341
OA	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)
	Leiderman, A., Tkachenko, M. (2022).SOME PROPERTIES OF ONE-POINT EXTENSIONS. Topology Proceedings,59195-208
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)
	Tkachenko, M. (2022).Products of topological groups and ω-stability. Topology and its Applications,320
OA	Tkachenko, M.G. (2021).Factoring continuous characters defined on subgroups of products of topological groups. Axioms,10(3)
OA	Tkachenko, M. (2021).On C-embedded subspaces of weakly Lindelöf spaces. Topology and its Applications,302
OA	Banakh, T., Tkachenko, M. (2021).Weak completions of paratopological groups. Topology and its Applications,304
OA	Tkachenko, M.G., Xie, L.-H. (2021).Simply sm-factorizable (para)topological groups and their quotients. Topology and its Applications,301
OA	Márquez Rodríguez, E., Tkachenko, M. (2021).D-independent topological groups. Topology and its Applications,300
OA	Zhang, H., He, W., Peng, D. and 1 more (...) (2021).On M-factorizable P-groups. Topology and its Applications,290
OA	He, W., Peng, D., Tkachenko, M. and 1 more (...) (2021).M-factorizability of products and τ-fine topological groups. Topology and its Applications,296
OA	He, W., Peng, D., Tkachenko, M. and 1 more (...) (2021).M-factorizable feathered topological groups. Topology and its Applications,289
	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
OA	Tkachenko, M. (2020).Continuous homomorphisms defined on (dense) submonoids of products of topological monoids. Axioms,9(1)
OA	Tkachenko, M. (2020).Factoring continuous mappings defined on subspaces of topological products. Topology and its Applications,281
OA	Kozlov, K.L., van Mill, J., Tkachenko, M.G. (2020).Alexander Vladimirovich Arhangel'skii. Topology and its Applications,281
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)
	Leiderman, A., Tkachenko, M. (2020).Separable quotients of free topological groups. Canadian Mathematical Bulletin,63(3) 610-623
	Xie, L.-H., Tkachenko, M.G. (2020).Simply sm-factorizable (para)topological groups and their completions. Monatshefte fur Mathematik,193(2) 507-529
	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)

Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

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

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