Publications
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1. Das kombinatorische Gewicht von Räumen
bezüglich einer normalen Basis. Soobshch. Akad. Nauk
Gruz. SSR 82 (1976), 33-36.
2. Über induktive
Dimensionen von Null-Räumen. Soobshch. Akad. Nauk Gruz.
SSR 81 (1976), 301-304 (with Ormocadze, R.N.).
3.
On relative dimensions of completely regular spaces. Soobshch.
Akad. Nauk Gruz. SSR 85 (1977), 45-48.
4. On
pseudocompact spaces. Soobshch. Akad. Nauk Gruz. SSR 86 (1977),
25-27.
5. On Wallman realcompactifications and
dimension of increments of completely regular spaces. Soobshch.
Akad. Nauk Gruz. SSR 87 (1977), 289-292.
6. Inductive
dimensions for completely regular spaces. Commentat. Math.
Univ. Carol. 18 (1977), 623-637.
7. On the dimension
of products of completely regular spaces. Soobshch. Akad.
Nauk Gruz. SSR 90 (1978), 553-556 (with Pasynkov, B.A.).
8. Axiomatics of the dimension dim in completely
regular spaces. Soobshch. Akad. Nauk Gruz. SSR 91 (1978),
273-275.
9. On the contractibility of topological
spaces. Soobshch. Akad. Nauk Gruz. SSR 92 (1978), 45-47.
10.
On the dimension of completely regular spaces. Soobshch.
Akad. Nauk Gruz. SSR 89 (1978), 277-280.
11. Axiomatics
of a large inductive dimension. Soobshch. Akad. Nauk Gruz.
SSR 93 (1979), 273-276.
12. Perfect normality
and Martin's axiom. Soobshch. Akad. Nauk Gruz. SSR 95 (1979),
273-276.
13. On bicompact extensions of Tychonoff
spaces. Monatsh. Math. 88 (1979), 211-218.
14.
On perfectly kappa-normal spaces. Sov. Math., Dokl. 21
(1980), 95-98; translation from Dokl. Akad. Nauk SSSR 250, 308-311
(1980).
15. On some question in dimension theory.
Topology, Vol. I, 4th Colloq. Budapest 1978, Colloq. Math. Soc.
Janos Bolyai 23, 273-286 (1980).
16. On properties
close to compactness. Russ. Math. Surv. 35, No.6 (1980), 87-88.
17. On the dimension of increments of Tychonoff
spaces. Fundam. Math. 111 (1981), 25-36.
18.
The density of space X is equal to the pseudocharacter of space
C(X). Soobshch. Akad. Nauk Gruz. SSR 103 (1981), 29-32.
19.
On E. V. Shchepin's spectral theorem. Soobshch. Akad. Nauk
Gruz. SSR 104 (1981), 25-28.
20. On a generalization
of perfectly normal spaces. Topology Appl. 13 (1982), 15-20.
21. On kappa-metrizable spaces. Russ. Math.
Surv. 37, No.2 (1982), 209-210.
22. Infinite-dimensional
compact Hausdorff spaces. Sib. Math. J. 23 (1982), 261-266;
translation from Sib. Mat. Zh. 23, No.2, 157-164 (1982).
23.
Zero-dimensional open mappings which increase dimension.
Commentat. Math. Univ. Carol. 24 (1983), 571-579.
24.
Extension of normal functors. Mosc. Univ. Math. Bull. 39,
No.6 (1984), 31-35; translation from Vestn. Mosk. Univ., Ser.
I 1984, No.6, 23-26 (1984).
25. Uncountable
powers of the line and the natural series, and n-soft mappings.
Sov. Math., Dokl. 30 (1984), 342-345; translation from Dokl. Akad.
Nauk SSSR 278, 50-53 (1984).
26. On Baire isomorphisms
of non-metrizable compacta. Commentat. Math. Univ. Carol.
26 (1985), 811-820.
27.A characterization of
the dimension dim of R-compacta, and universal spaces of given
weight and dimension. Russ. Math. Surv. 40 (1985), 225-248;
translation from Usp. Mat. Nauk 40, No.5(245), 265-266 (1985).
28. On relative dimensions. General topology,
Function spaces and dimension, Work collect., Moskva 1985, 67-117
(1985).
29. Nonbicompact absolute extensors
in dimension n, n-soft mappings, and their applications.
Izv. Akad. Nauk SSSR, Ser. Mat. 50, No.1 (1986), 156-180.
30.
Trivial fibrations with Tikhonov cube fiber. Math. Notes
39, 409-413 (1986); translation from Mat. Zametki 39, No.5 (1986),
747-756.
31. Noncompact absolute extensors in
dimension n, n-soft mappings, and their applications.
Math. USSR, Izv. 28 (1987), 151-174.
32. Characterization
of Polish AE(n)-spaces. Vestn. Mosk. Univ., Ser. I 1987, No.5
(1987), 32-35.
33. The structure of nonmetrizable
AE(0)-spaces. Math. Notes 41 (1987), 232-234; translation
from Mat. Zametki 41, No.3, 406-411 (1987).
34.
A characterization of Polish AE(n)-spaces. Mosc. Univ.
Math. Bull. 42, No.5 (1987), 35-38; translation from Vestn. Mosk.
Univ., Ser. I 1987, No.5, 32-35 (1987).
35. Compacta
situated in an n-dimensional universal Menger compactum and having
homeomorphic complements in it. Mat. Sb., Nov. Ser. 133, No.4(8)
(1987), 481-496.
36. Universal maps and surjective
characterizations of completely metrizable LC n-spaces. C.
R. Acad. Bulg. Sci. 41, No.5 (1988), 9-10 (with Valov V.).
37. Set-valued maps and AE(0)-spaces. C.
R. Acad. Bulg. Sci. 41, No.4 (1988), 13-14 (with Valov V.).
38. Compacta lying in the n-dimensional universal
Menger compactum and having homeomorphic complements in it.
Math. USSR, Sb. 61, No.2 (1988), 471-484; translation from Mat.
Sb., Nov. Ser. 133(175), No.4, 481-496 (1987).
39.
On compacta lying in the n-dimensional universal Menger compactum
and having homeomorphic complements in it. Sov. Math., Dokl.
37, No.1 (1988), 122-125; translation from Dokl. Akad. Nauk SSSR
298, No.3, 552-556 (1988).
40. n-shapes and
n-cohomology groups of compacta. Mat. Sb. 180, No.3 (1989),
322-335.
41. The theory of n-shapes. Russ.
Math. Surv. 44, No.5 (1989), 145-174; translation from Usp. Mat.
Nauk 44, No.5(269), 117-140 (1989).
42. On UV^n-equivalent
compacta. Mosc. Univ. Math. Bull. 44, No.3 (1989), 41-44;
translation from Vestn. Mosk. Univ., Ser. I 1989, No.3, 33-35
(1989).
43. Trivial bundles and near-homeomorphisms.
Fundam. Math. 132, No.2 (1989), 89-98.
44. n-soft
mappings of n-dimensional spaces. Math. Notes 46, No.1, 558-562
(1989); translation from Mat. Zametki 46, No.1 (1989), 88-95.
45. Universal maps and surjective
characterizations
of completely metrizable LC^n-spaces. Proc. Am. Math. Soc.
109, No.4 (1990), 1125-1133 (with Valov V.).
46.
n-shapes and n-cohomotopy groups of compacta. Math. USSR,
Sb. 66, No.2, 329-342 (1990); translation from Mat. Sb. 180, No.3
(1989), 322-335.
47. Locally convex linear topological
spaces that are homeomorphic to the powers of the real line.
Proc. Am. Math. Soc. 113, No.2 (1991), 599-609.
48.
Autohomeomorphisms of the universal Menger compacta are stable.
Soobshch. Akad. Nauk Gruz. SSR 142, No.3 (1991), 477-479.
49.
On Baire isomorphisms. Mosc. Univ. Math. Bull. 46, No.5,
46-47 (1991); translation from Vestn. Mosk. Univ., Ser. I 1991,
No.5 (1991), 67-69.
50. UV^n-equivalence and
$n$-equivalence. Topology Appl. 45, No.3 (1992), 283-291.
51. Absolute retracts and infinite-dimensional
manifolds. (Absolyutnye retrakty i beskonechnomernye mnogoobraziya).
Moskva: Nauka. 232 p. (1992) (with Fedorchuk V.V.).
52.
Classification theorem for Menger manifolds. Proc. Am.
Math. Soc. 116, No.3 (1992), 825-832.
53. The
n-shape functor on the category of compacta. Proc. Steklov
Inst. Math. 193 (1993), 239-243; translation from Tr. Mat. Inst.
Steklova 193, 217-221 (1992).
54. Topological
groups homeomorphic to products of discrete spaces.
Topology Appl. 53, No.1 (1993), 67-73 (with Bell M.).
55.
Shape properties of nonmetrizable spaces. Topology Appl.
53, No.3 (1993), 259-269.
56. Finding a boundary
for a Menger manifold. Proc. Am. Math. Soc. 121, No.2 (1994),
631-640.
57. Set-valued maps and AE(0)-spaces.
Topology Appl. 55, No.1 (1994), 1-15 (with Valov V.) .
58. Fixed point sets of Tychonov cubes.
Topology Appl. 64, No.3 (1995), 201-218 (with Martin J.R.).
59. Menger manifolds. (with Kawamura
K, Tymchatyn E.D.)Cook, Howard (ed.) et al., Continua with
the Houston problem book. Based on the special session on modern
methods in continuum theory, held within the 100th annual joint
mathematics meetings in Cincinnati, OH, USA, January 12-15, 1994.
New York: Marcel Dekker. Lect. Notes Pure Appl. Math. 170, 37-88
(1995).
60. Nöbeling spaces and pseudo-interiors
of Menger compacta. Topology Appl. 68, No.1 (1996), 33-65
(with Kawamura K., Tymchatyn E.D.).
61.
Finiteness results in n-homotopy theory. Topology Appl.
74, No.1-3 (1996), 3-16 (with Kawamura K., Sher R.B.) .
62. Inverse spectra. North-Holland
Mathematical
Library. 53. Amsterdam: Elsevier. x, 421 p. (1996).
63.
Compact groups and absolute extensors. Topol. Proc. 22(Summer)
(1997), 63-70. Available at: http://xxx.lanl.gov/abs/math/9908076
64. Cohomological dimension of Tychonov
spaces. Topology Appl. 79, No.3 (1997), 197-228.
65.
Compact groups and fixed point sets. Trans. Am. Math. Soc.
349, No.11 (1997), 4537-4554 (with Hofmann K.H., Martin J.R.)
.
66. Fixed point sets of autohomeomorphisms
of uncountable products. Topology Appl. 80, No.1-2 (1997),
63-71 (with Martin J.R.).
67. On absolute
extensors modulo a complex. Topology Appl. 86, No.2 (1998),
169-178 (with Zarichnyi M.).
68. Topological
characterization of torus groups. Topology Appl. 94, No.1-3
(1999), 13-25. Available at: http://xxx.lanl.gov/abs/math/9908075
69. Uncountable direct systems and
a characterization of non-separable projective C*-algebras.
Mat. Stud. 12, No.2 (1999), 171-204. Available at: http://xxx.lanl.gov/abs/math/9908071
70. On extension dimension of non-metrizable
manifolds. Mosc. Univ. Math. Bull. 54, No.3 (1999), 47-50
(with Fedorchuk V.V.) ; translation from Vestn. Mosk. Univ.,
Ser. I 1999, No.3, 44-48 (1999).
71. On some
dimensional properties of 4-manifolds. Topology Appl. 107,
No.1-2 (2000), 67-78 (with Fedorchuk V. V.). Available at: http://xxx.lanl.gov/abs/math/9908074
72. On spaces Baire isomorphic to
the powers of the real line. Topology Appl. 107, No.1-2 (2000),
57-66. Available at: http://xxx.lanl.gov/abs/math/9908072
73. Menger(Nöbeling) manifolds versus Hilbert
cube (space) manifolds -- a categorical comparison. Monatsh.
Math. 130, No.2 (2000), 89-97 (with Fedorchuk V.V.) .
Available at: http://xxx.lanl.gov/abs/math/9908120
74.
Compactifications and universal spaces in extension theory.
Proc. Am. Math. Soc. 128, No.7 (2000), 2187-2190 (xxx
pdf).
75. Universal C*-algebra of real rank
zero. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3,
No.3 (2000), 445-452 (xxx
pdf).
76. Complemented subspaces of products
of Banach spaces. Proc. Amer. Math. Soc. 129, No.10 (2001),
2959-2963. Available at: http://xxx.lanl.gov/abs/math/0002242
77. Topological AE(0)-groups.
Fundam. Math. 167, No.1 (2001), 79-96 (xxx
pdf).
78. Extension dimension and refinable
maps. Acta Math. Hungar. 92 (2001), 185-194 (with Valov,
V.). Available at: http://xxx.lanl.gov/abs/math/9909134
79. Complemented subspaces of locally
convex direct sums of Banach spaces. JP Journal of Geometry
and Topology. 1, No.3, (2001), 231-238. Available at: http://xxx.lanl.gov/abs/math/0002241
80. Universal metric spaces and extension
dimension. Topology Appl. 113, No.1-3, (2001), 23-27 (with
V.Valov) (xxx
pdf).
81. Approximations and selections
of multivalued mappings of finite-dimensional spaces. JP Journal
of Geometry and Topology. 2, No.1, (2002) , 29-73 (with Brodsky
N., Karasev A.). Available at: http://xxx.lanl.gov/abs/math/0106064
82. Infinite Dimensional Topology
and Shape Theory. In: Handbook of Geometric Topology (eds:
R.Daverman and R.Sher), North Holland, Amsterdam, 2001, 307-371.
83.
Topological semigroups and universal spaces related to extension
dimension. Mat. Stud. 16, No. 2 (2001), 195 - 198 (with
A.Karasev, M.Zarichnyi). Available at: http://xxx.lanl.gov/abs/math/0109106
84. Continuous homomorphisms of Arens-Michael
algebras. IJMMS 19(2003), 1215 - 1231.
85.
Extension dimensional approximation theorem. Topology Appl.
125 (2002), 385 -391 (with N.Brodsky). Available at: http://xxx.lanl.gov/abs/math/0103061
86. Extension dimension and C-spaces.
Bull. London Math.Soc, 34, No. 6 (2002), 708 - 716 (with V.Valov).
Available at: http://xxx.lanl.gov/abs/math/0002001
87. Hurewicz theorem for extension dimension.
Topology Appl. 129 (2003), 145 -151 (with N.Brodsky). Available
at: http://xxx.lanl.gov/abs/math/0204319
88.
C*-algebras of infinite real rank. Bull. Austral. Math.
Soc. 66 (2002), 487 - 496 (with V.Valov). Available at: http://xxx.lanl.gov/abs/math/0205142
89. On spaces of sigma-additive measures.
Topology Appl. 133 (2003), 139 - 155 (with T.Banakh, V.Fedorchuk).
90. Notes on two conjectures in extension theory.
JP Journal of Geometry and Topology. 2, No.3, (2002) , 259-264.
Available at: http://xxx.lanl.gov/abs/math/0210214
91.
Topological model categories generated by finite complexes.
Monatsh. Math. 139 (2003), 129-150 (with A.Karasev). Available
at: http://xxx.lanl.gov/abs/math/0205014
92. Bounded rank of C*-algebras. Topology
Appl. 140 (2004), 163-180 (with V.Valov). Available at: http://xxx.lanl.gov/abs/math/0109100
93. Real rank and squaring mapping
for unital C*-algebras. Proc. Amer. Math. Soc. 132 (2004), 783-788 (with
A.Karasev,
M.Rordam). Available at: http://xxx.lanl.gov/abs/math/0201214
94. Extraordinary dimension theories
generated by complexes. Topology Appl. 138 (2004), 1-20. Available
at: http://xxx.lanl.gov/abs/math/0301004
95. Universal Nobeling spaces and pseudoboundaries
of Euclidean spaces. Mat. Stud. 19, N 2 (2003), 193-200
(with M.Zarichnyi). Available at: http://xxx.lanl.gov/abs/math/9911128
96. Extraordinary dimension of maps. Topology
Appl., 153 (2006), 1586-1592
(with V.Valov). Available at: http://xxx.lanl.gov/abs/math/0308236
97. Nonmetrizable ANRs admitting a group structure
are manifolds. Topology Appl., 153 (2006), 1079-1083. Available at:
http://xxx.lanl.gov/abs/math/0502022
98. On C*-algebras
with the approximate n-th root property. Bull. Austral. Math. Soc.
72 (2005), 197-212 (with A.Karasev,
K.Kawamura, V.Valov). Available at: http://xxx.lanl.gov/abs/math/0503130
99. Retracts of sigma-products of Hilbert cubes.
Topology Proc. v. 31, #1 (2007), 67-75. Available at: http://xxx.lanl.gov/abs/math/0605679
100. Sections of Serre fibrations with 2-manifold
fibers (with N. Brodsky and E. Scepin). Topology Appl., 155 (2008),
773-782.
101. Near-homeomorphisms of Nobeling manifolds
(with A.Nagorko). Accepted Canadian Math. Bull. Available at:
http://xxx.lanl.gov/abs/0706.2773
102. Valdivia compact groups are products.
Topology Appl., 155(2008), 605-609.
Available at: http://xxx.lanl.gov/abs/0707.3304
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