Dmitri Shakhmatov

Learn More
Let G be a topological group with the identity element e. Given a space X, we denote by Cp(X, G) the group of all continuous functions from X to G endowed with the topology of pointwise convergence, and we say that X is: (a) G-regular if, for each closed set F ⊆ X and every point x ∈ X \ F , there exist f ∈ Cp(X, G) and g ∈ G \ {e} such that f (x) = g and f(More)
For an abelian topological group G, let G denote the dual group of all continuous characters endowed with the compact open topology. Given a closed subset X of an infinite compact abelian group G such that w(X) < w(G), and an open neighbourhood U of 0 in T, we show that |{χ ∈ G : χ(X) ⊆ U }| = | G|. (Here, w(G) denotes the weight of G.) A subgroup D of G(More)
If a discrete subset S of a topological group G with the identity 1 generates a dense subgroup of G and S ∪ {1} is closed in G, then S is called a suitable set for G. We apply Michael's selection theorem to offer a direct, self-contained, purely topological proof of the result of Hofmann and Morris [8] on the existence of suitable sets in locally compact(More)
Let I be an infinite set, {Gi : i ∈ I} be a family of (topological) groups and G = i∈I Gi be its direct product. For J ⊆ I, pJ : G → j∈J Gj denotes the projection. We say that a subgroup H of G is: (i) uniformly controllable in G provided that for every finite set J ⊆ I there exists a finite set K ⊆ I such that pJ (H) = pJ (H ∩ i∈K Gi); (ii) controllable in(More)
We give a necessary and sufficient condition, in terms of a certain reflection principle, for every unconditionally closed subset of a group G to be algebraic. As a corollary, we prove that this is always the case when G is a direct product of an Abelian group with a direct product (sometimes also called a direct sum) of a family of countable groups. This(More)
The experience of 193 manually assisted laparoscopic operations on the reason of colon cancer was analyzed. The mean age of the patients was 63.6±11.3 years. Men were 85 (44%), women - 108 (56%). The majority of patients had tumor of 2nd or 3rd stage. The mean body mass index was 27.6±4.6 kg/m2. The conversion was needed in 8 (4.1%) cases. There were no(More)
Authors have an experience of 88 hand-assisted laparoscopic procedures. Results of 32 hand-assisted resections of colon's left parts are analyzed. The special original sealing device was used for making of pneumoperitoneum during laparoscopic procedures. The study group consisted of 19 female and 13 male patients. Mean age was 60.0 +/- 9.8 years (42-76 ys).(More)
We report a case of sigmoid colon resection by single-incision laparoscopic surgery using transvaginal access. The patient was a 54-year-old woman with early stage sigmoid cancer who had no previous surgery and had a body mass index of 23.5 kg/m(2). The operative time was 270 min, and the blood loss was negligible. We used only transvaginal access, since no(More)
  • 1