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1
Content available On the boundedness of equivariant homeomorphism groups
Lech J., Michalik I., Rybicki T.
Opuscula Mathematica
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2018
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Vol. 38, no. 3
395--408
EN
Given a principal G-bundle [formula] let HG(M) be the identity component of the group of G-equivariant homeomorphisms on M. The problem of the uniform perfectness and boundedness of HG(M) is studied. It occurs that these properties depend on the structure of H(B), the identity component of the group of homeomorphisms of B, and of B itself. Most of the obtained results still hold in the [formula] category.
2
Content available remote Perspective modification of medical education in the sphere of telemedicine in Ukraine based on experience gained during professional internships in Poland
Michalik I., Kańtoch A., Petiurenko A.
Bio-Algorithms and Med-Systems
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2018
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Vol. 14, no. 3
art. no. 20180021
EN
The processes of globalization and integration, as well as technologies and computerization, occurring in public life cause significant changes in all its spheres, especially in medicine. Nowadays, computerization of healthcare facilities has become the norm of their development. However, rapid technological change requires the modernization of medical education system, revising the approaches to the training of competitive medical professionals who will able to adapt quickly to changes in the field of health care. The research issue concerns the processes of future medical professionals’ training. The importance of telemedicine in health-care systems of Ukraine and Poland is justified. It is suggested that the problem of telemedicine and e-health usage in the process of medical professionals’ training in Ukraine is not studied sufficiently and does not have practical consolidation. The didactic methodology of medical specialties students training for the use of telemedicine technologies in future professional activities is developed.
3
Content available remote Electronic health record for elderly patients
Michalik I., Kańtoch A.
Bio-Algorithms and Med-Systems
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2017
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Vol. 13, no. 4
195--200
EN
Abstract: The aim of this article was to show an Electronic Health Record for elderly patients that was prepared for tablets with Android system. The program can be used in case of collecting patient data that comes from the Comprehensive Geriatric Assessment – the multidisciplinary diagnostic tool which is performed among older adults in hospital and outpatient settings. The application was designed for devices with Android system using JellyBean, Kitkat or Lollipop system version. The app allowed to perform, save, edit, view and send survey results. Additionally, it had an option of creating an account with different permission levels. The program was created to facilitate and accelerate the work of a physician who is obliged to complete a Comprehensive Geriatric Assessment card with the patient. It was intended to replace the filling out of a paper questionnaire, in which the doctor must personally sum up all the results, with a tool that will be available on tablets and which enables to complete and evaluate the results of medical examination faster than during performing the questionnaire in a traditional way.
4
Content available Entropy of foliations with leafwise Finsler structure
Michalik I., Walczak S.
Opuscula Mathematica
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2016
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Vol. 36, no. 4
499--512
EN
We extend the notion of the geometric entropy of foliation to foliated manifolds equipped with leafwise Finsler structure. We study the relation between the geometric entropy and the topological entropy of the holonomy pseudogroup. The case of a foliated manifold with leafwise Randers structure is considered. In this case the estimates for one dimensional foliation defined by a vector field in terms of the topological entropy of a flow are presented.
5
Content available On the structure of certain nontransitive diffeomorphism groups on open manifolds
Kowalik A., Lech J., Michalik I.
Opuscula Mathematica
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2012
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Vol. 32, no. 3
511-520
EN
It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows that the group is uniformly perfect as well.
6
Content available remote Quasi-simplicity of some homeomorphism and diffeomorphism groups
Kowalik A., Michalik I.
Demonstratio Mathematica
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2010
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Vol. 43, nr 1
11-19
EN
The notion of quasi-simplicity of groups is introduced. It is proven that for a group of homeomorphisms G which is fixed point free and factorizable the commutator subgroup [G, G] is quasi-simple. Several examples of quasi-simple but non-simple homeomorphism groups are presented.
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