Geodesic
n-ANR's for Certain Normal Spaces
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 629-635

Voir la notice de l'article provenant de la source Cambridge University Press

For various classes Q of metric spaces, there are several well-known results characterizing the local n-connectivity of a metric space in terms of n-ANR(Q)'s. Specifically, we have in mind the results of Kuratowski (13, p. 265) and Kodama (10, p. 79). The main purpose of this paper will be to obtain similar results along these lines for non-metric classes Q. In the last part of the paper we specify Q to be the class of totally normal spaces and characterize the local n-connectivity of an n-dimensional separable metric space in terms of ANR(Q)'s. 
Mancuso, Vincent J. n-ANR's for Certain Normal Spaces. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 629-635. doi: 10.4153/CJM-1967-056-9
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