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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.
[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.
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 ...
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 .
The following outline is provided as an overview of and topical guide to ethics.. Ethics (also known as moral philosophy) is the branch of philosophy that involves systematizing, defending, and recommending concepts of right and wrong conduct. [1]
The following outline is provided as an overview of and topical guide to critical theory: Critical theory – the examination and critique of society and culture, drawing from knowledge across the social sciences and humanities. The term has two different meanings with different origins and histories: one originating in sociology and the other ...
Against Method: Outline of an Anarchistic Theory of Knowledge is a 1975 book by Austrian philosopher of science Paul Feyerabend. The central thesis of the book is that science should become an anarchic enterprise. [ 1 ]
Of the eight circuits in this model of consciousness, the first four circuits concern themselves with life on Earth, and the survival of the human species.The last four circuits are post-terrestrial, and concern themselves with the evolution of the human species as represented by so-called altered states of consciousness, enlightenment, mystical experiences, psychedelic states of mind, and ...