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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 concept in topology was defined by Karol Borsuk in 1931. [ 2 ] Borsuk's student, Samuel Eilenberg , was with Saunders Mac Lane the founder of category theory, and (as the earliest publications on category theory concerned various topological spaces) one might have expected this term to have initially be used.
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.
According to Schunk (2012), Lev Vygotsky who was a Russian psychologist and was a major influence on the rise of constructivism, believed that self-regulation involves the coordination of cognitive processes such as planning, synthesizing and formulating concepts (Henderson & Cunningham, 1994); however, such coordination does not proceed independently of the individual's social environment and ...
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 .
Balance theory is useful in examining how celebrity endorsement affects consumers' attitudes toward products. [6] If a person likes a celebrity and perceives (due to the endorsement) that said celebrity likes a product, said person will tend to like the product more, in order to achieve psychological balance.
[7] For all n for fields of revolution — shown by Boris Dekster (1995). [8] The problem was finally solved in 1993 by Jeff Kahn and Gil Kalai, who showed that the general answer to Borsuk's question is no. [9] They claim that their construction shows that n + 1 pieces do not suffice for n = 1325 and for each n > 2014.