55 research outputs found
On closed embeddings of free topological algebras
Let be a complete quasivariety of completely regular universal
topological algebras of continuous signature (which means that
is closed under taking subalgebras, Cartesian products, and
includes all completely regular topological -algebras algebraically
isomorphic to members of ). For a topological space by
we denote the free universal -algebra over in the class
. Using some extension properties of the Hartman-Mycielski
construction we prove that for a closed subspace of a metrizable (more
generally, stratifiable) space the induced homomorphism
between the respective free universal algebras is a closed topological
embedding. This generalizes one result of V.Uspenskii concerning embeddings of
free topological groups.Comment: 3 page
Metrizability of Clifford topological semigroups
We prove that a topological Clifford semigroup is metrizable if and only
if is an -space and the set of idempotents of is
a metrizable -set in . The same metrization criterion holds also
for any countably compact Clifford topological semigroup .Comment: 4 page
The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups
In this paper we search for conditions on a countably compact
(pseudo-compact) topological semigroup under which: (i) each maximal subgroup
in is a (closed) topological subgroup in ; (ii) the Clifford part
(i.e. the union of all maximal subgroups) of the semigroup is a
closed subset in ; (iii) the inversion is continuous; and (iv) the projection ,
, onto the subset of idempotents of ,
is continuous
Topological monoids of monotone injective partial selfmaps of with cofinite domain and image
In this paper we study the semigroup
of partial cofinal monotone
bijective transformations of the set of positive integers . We show
that the semigroup has algebraic
properties similar to the bicyclic semigroup: it is bisimple and all of its
non-trivial group homomorphisms are either isomorphisms or group homomorphisms.
We also prove that every locally compact topology on
such that
is a topological inverse
semigroup, is discrete. Finally, we describe the closure of
in a topological
semigroup
Antimicrobial de-escalation in the critically ill patient and assessment of clinical cure: the DIANA study
Purpose: The DIANA study aimed to evaluate how often antimicrobial de-escalation (ADE) of empirical treatment is performed in the intensive care unit (ICU) and to estimate the effect of ADE on clinical cure on day 7 following treatment initiation. Methods: Adult ICU patients receiving empirical antimicrobial therapy for bacterial infection were studied in a prospective observational study from October 2016 until May 2018. ADE was defined as (1) discontinuation of an antimicrobial in case of empirical combination therapy or (2) replacement of an antimicrobial with the intention to narrow the antimicrobial spectrum, within the first 3 days of therapy. Inverse probability (IP) weighting was used to account for time-varying confounding when estimating the effect of ADE on clinical cure. Results: Overall, 1495 patients from 152 ICUs in 28 countries were studied. Combination therapy was prescribed in 50%, and carbapenems were prescribed in 26% of patients. Empirical therapy underwent ADE, no change and change other than ADE within the first 3 days in 16%, 63% and 22%, respectively. Unadjusted mortality at day 28 was 15.8% in the ADE cohort and 19.4% in patients with no change [p = 0.27; RR 0.83 (95% CI 0.60\u20131.14)]. The IP-weighted relative risk estimate for clinical cure comparing ADE with no-ADE patients (no change or change other than ADE) was 1.37 (95% CI 1.14\u20131.64). Conclusion: ADE was infrequently applied in critically ill-infected patients. The observational effect estimate on clinical cure suggested no deleterious impact of ADE compared to no-ADE. However, residual confounding is likely
Науково-практичний коментар Закону України «Про запобігання корупції» [станом на 1 лип. 2018 р.]
Науково-практичний коментар Закону України «Про запобігання корупції»: станом на 1 лип. 2018 р. / [А. В. Андрєєв, І. Л. Антипова, С. В. Банах та ін.], за заг. ред. Журавльова Д. В. – Київ: Видав. дім «Професіонал», 2018. – 512 с.Коментар розрахований на осіб, уповноважених на виконання функцій
держави або місцевого самоврядування та прирівняних до них осіб, які є
суб’єктами, на яких поширюється дія Закону України «Про запобігання корупції», на уповноважених осіб, відповідальних за реалізацію антикорупційних
програм, суддів, прокурорів, слідчих, детективів, адвокатів, а також на студентів вищих учбових закладів, які готують фахівців в галузі права
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