infinite-dimensional topology, absorbing spaces, topological groups, topological semigroups, Banach spaces, Ramsey Theory, spaces of measures, theory of topological functors.
Main publications:
T. Banakh, T. Radul, M. Zarichnyi. Absorbing sets in infinite-dimensional manifolds. Lviv: VNTL, 1996.
T. Banakh. Toward a topological classification of convex sets in infinite-dimensional Frechet spaces // Topology Appl., 111 (2001), 241–263.
T. Banakh, Ya. Vorobets, O. Verbitski. Ramsey problems for spaces with symmetries // Izvestia RAN. 64:6 (2000), 3–40.
T. Banakh, T. Dobrowolski, A. Plichko. Applications of some results of infinite-dimensional topology to the topological classification of operator images and weak unit balls of Banach spaces // Dissert. Math., 387 (2000), 81 p.
T. Banakh, R. Cauty. Interplay between strongly universal spaces and pairs, 386 (2000), 38 p.
V. Artamonov, O. Artemovych, Yu. Bahturin, T. Banakh, L. Bartholdi, O. Bezushchak, Ie. Bondarenko, T. Ceccherini-Silberstein, Yu. Drozd, V. Futorny, F. de Giovanni, R. Grigorchuk, W. Holubowski, S. Ivanov, A. Kashu, O. Kharlampovich, E. Khukhro, V. Kirichenko, L. Kurdachenko, Ya. Lavrenyuk, O. Macedońska, A. Myasnikov, T. Nagnibeda, V. Nekrashevych, A. Oliynyk, B. Oliynyk, A. Olshanskii, M. Perestyuk, A. Petravchuk, I. Protasov, N. Romanovskii, D. Savchuk, M. Sapir, M. Semko, I. Shestakov, S. Sidki, B. Steinberg, I. Subbotin, Ya. Sysak, V. Vyshensky, E. Zelmanov, A. Zhuchok, Yu. Zhuchok, “Vitaliy Sushchansky (11.11.1946 – 29.10.2016)”, Algebra Discrete Math., 23:2 (2017), C–F
2014
4.
Taras Banakh, Igor Protasov, Sergiy Slobodianiuk, “Densities, submeasures and partitions of groups”, Algebra Discrete Math., 17:2 (2014), 193–221
T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov, “Topological spaces with Prokhorov and Skorokhod properties”, Dokl. Akad. Nauk, 380:6 (2001), 727–730; Dokl. Math., 64:2 (2001), 244–247
2000
16.
T. O. Banakh, Ya. B. Vorobets, O. V. Verbitskii, “Ramsay problems for spaces with symmetries”, Izv. RAN. Ser. Mat., 64:6 (2000), 3–40; Izv. Math., 64:6 (2000), 1091–1127
T. O. Banakh, “On a cardinal group invariant related to decompositions of Abelian groups”, Mat. Zametki, 64:3 (1998), 341–350; Math. Notes, 64:3 (1998), 295–302
T. O. Banakh, “Topological classification of spaces of probability measures on projective spaces”, Mat. Zametki, 61:3 (1997), 441–444; Math. Notes, 61:3 (1997), 360–363
T. O. Banakh, “Characterization of Convex $Z$-Sets in Linear Metric Spaces”, Funktsional. Anal. i Prilozhen., 28:4 (1994), 77–79; Funct. Anal. Appl., 28:4 (1994), 285–286
23.
T. O. Banakh, “Characterization of fiber-wise absorbing sets in infinite-dimensional fiber bundles”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 11, 10–13; Russian Math. (Iz. VUZ), 38:11 (1994), 8–10
24.
T. O. Banakh, R. Cauty, “Topological classification of spaces of probability measures for co-analytic sets”, Mat. Zametki, 55:1 (1994), 10–19; Math. Notes, 55:1 (1994), 8–13
T. O. Banakh, “Fiber $Z$-sets and fiber rejection homeomorphisms”, Mat. Zametki, 51:6 (1992), 10–14; Math. Notes, 51:6 (1992), 539–542
26.
T. O. Banakh, “On the topology of the Milnor construction of the universal $G$-bundle”, Sibirsk. Mat. Zh., 33:1 (1992), 16–25; Siberian Math. J., 33:1 (1992), 12–19
T. O. Banakh, “Infinite-dimensional manifolds generated by ANR-operads”, Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 12, 3–5; Soviet Math. (Iz. VUZ), 35:12 (1991), 1–3
1987
28.
T. O. Banakh, M. M. Zarichnyĭ, “Compactifications of the iterated hyperspace functor”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 10, 3–6; Soviet Math. (Iz. VUZ), 31:10 (1987), 1–4
2014
29.
T. Banakh, R. Grigorchuk, I. Guran, V. Kirichenko, V. Nekrashevich, A. Oliynyk, B. Oliynyk, A. Petravchuk, V. Sushchansky, M. Zarichnyi, A. Zhuchok, Yu. Zhuchok, “Igor Volodymyrovych Protasov (dedicated to 60-th Birthday)”, Algebra Discrete Math., 17:2 (2014), C–F