Erik Palmgren
580 California St., Suite 400
San Francisco, CA, 94104
From intuitionistic to point-free topology
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Abstract
Brouwer's pioneering results in topology, e. g. invariance of dimension, were devel-oped within a classical framework of mathematics. Some years later he explained that "in his topological work he tried to use only methods which he expected could be made constructive" [11, p. XIV]. It seems that very little of algebraic topol-ogy, homotopy and homology, has actually been developed constructively in any detail, or, at any rate, found its way to publication. In the comprehensive treatise Foundations of Constructive Mathematics, Beeson [4, pp. 26-27] writes however
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