The main goal of this paper is to prove that the space of directed loops on the final precubical set is homotopy equivalent to the "total" configuration space of points on the plane; by "total" we mean that any finite number of points in the configuration is allowed. We also provide several applications: we define new invariants of precubical sets, prove that directed path spaces on any precubical complex have the homotopy types of CW-complexes and construct certain presentations of configuration spaces of points on the plane as nerves of categories.

Background. due to the constant increase in the number of morbidly obese patients, an adequate tool for assessing the functioning and disability of these patients is being sought. the international classification of Functioning, disability and Health (icF) could be that tool. Objectives. the aim of this study is to examine the usefulness of the icF scale in assessing the functioning of morbidly obese patients in two selected areas in reference to recognized scales. Material and methods. the study group included 76 patients with morbid obesity qualified for bariatric treatment. the icF was applied to assess the function and limitations of each individual. two domains of the icF were selected: body Functions and structures and activities and Participation. the usefulness of the icF was compared to that of the barthel and EPQ-r scales. Results. in morbidly obese patients, a correlation between motor functions and icF and bMi, as well as age, was observed. a significant correlation was observed between bMi and psychomotor control, appropriateness and range of emotions experienced, age and amount of sleep, quality of sleep, memory retrieval and psychomotor functions. Women's mental functions were significantly worse than those of men. in terms of interpersonal relations, a correlation between bMi and regulating behavior within interactions was observed. Conclusions. the icF is a useful tool for the study and description of the functioning of patients with morbid obesity. the selected domains are described better than by the previously used barthel scale. Women with morbid obesity tend to have more impaired mental functioning than morbidly obese men. Key words: icF, morbid obesity, personality disorders, barthel scale. Summary ISSN 1734-3402, eISSN 2449-8580 this is an open access article distributed under the terms of the creative commons attribution-noncommercial-sharealike 4.0 international (cc by-nc-sa 4.0). license (http://creativecommons.org/licenses/by-nc-sa/4.0/). sosada k, gluck M, Mizgała E, lukas W, oleksiak a, Paliga J, borek i, drzastwa W, izydorczyk b, Matuszewska-zbrońska H, zbroński k, bujak-rosenbeiger E. attempt at application of the international classification of Functioning, disability and Health (icF) in the domains of body and structure function and activity and participation in the assessment of the rate of disability in patients with morbid obesity -pilot study. Fam Med Prim Care Rev 2017; 19(2): 156-160, doi: https://doi

The main goal of this paper is to prove that the space of directed loops on the final precubical set is homotopy equivalent to the "total" configuration space of points on the plane; by "total" we mean that any finite number of points in a configuration is allowed. We also provide several applications: we define new invariants of precubical sets, prove that directed path spaces on any precubical complex have the homotopy types of CW-complexes and construct certain presentations of configuration spaces of points on the plane as nerves of categories.