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Karol Borsuk (8 May 1905 – 24 January 1982) was a Polish mathematician. His main area of interest was topology . He made significant contributions to shape theory , a term which he coined.
A space is an absolute neighborhood retract for the class , written (), if is in and whenever is a closed subset of a space in , is a neighborhood retract of . Various classes C {\displaystyle {\mathcal {C}}} such as normal spaces have been considered in this definition, but the class M {\displaystyle {\mathcal {M}}} of metrizable spaces ...
The 3H-model of motivation ("3H" stands for the "three components of motivation") was developed by Hugo M. Kehr of UC Berkeley. The 3C-model is an integrative, empirically validated theory of motivation that can be used for systematic motivation diagnosis and intervention.
The topic of the book is part of a relatively new field of mathematics crossing between topology and combinatorics, now called topological combinatorics. [2] [3] The starting point of the field, [3] and one of the central inspirations for the book, was a proof that László Lovász published in 1978 of a 1955 conjecture by Martin Kneser, according to which the Kneser graphs +, have no graph ...
The self-regulated learning is the process of taking control and evaluating one's own learning and behavior. This emphasizes control by the individual who monitors, directs and regulates actions toward goals of information. In goal attainment self-regulation it is generally described in these four components of self-regulation. [1]
The following is known about retracts: A subgroup is a retract if and only if it has a normal complement. [4] The normal complement, specifically, is the kernel of the retraction. Every direct factor is a retract. [1] Conversely, any retract which is a normal subgroup is a direct factor. [5] Every retract has the congruence extension property.
Psi-theory, developed by Dietrich Dörner at the University of Bamberg, is a systemic psychological theory covering human action regulation, intention selection and emotion. [ 1 ] [ 2 ] It models the human mind as an information processing agent, controlled by a set of basic physiological, social and cognitive drives.
In mathematics, the Bing–Borsuk conjecture states that every -dimensional homogeneous absolute neighborhood retract space is a topological manifold. The conjecture has been proved for dimensions 1 and 2, and it is known that the 3-dimensional version of the conjecture implies the Poincaré conjecture .