Local Homological Properties
Jean A. Dieudonné · Birkhäuser Boston eBooks · 2009
Local properties of topological spaces were considered at the beginning of the twentieth century, chiefly by Schoenflies, who was a pioneer in that matter. They were mainly studied for subsets of R 2 , and without any intervention of homological notions. Examples of these properties are accessibility and “Un-bewaltheit,” which we saw developed by Brouwer using simplicial methods but still no homology (chap. II, §3,C). After 1910 the concept of local connectedness * was also the theme of many papers in “point-set” (or “analytic”) topology (see [517] and [518], chap. I).