On conjecture que certains espaces localement étoilés admettent toujours une jolie stratification naturelle, et deviennent ainsi ce qu’on appelle des ensembles. On cite quelques propriétés agréables des ensembles, et quelques exemples exotiques qui distinguent les ensembles, les espaces triangulables, et les espaces localement triangulables.
It is conjectured that certain locally starlike spaces admit an agreeable stratification making than so-called sets. Some pleasant properties of sets are recalled and then some curious examples are cited distinguishing sets, triangulable spaces and locally triangulable spaces.
@article{AIF_1973__23_2_159_0, author = {Siebenmann, Laurent}, title = {Les stratifi\'es topologiques et les poly\`edres}, journal = {Annales de l'Institut Fourier}, volume = {23}, year = {1973}, pages = {159-161}, doi = {10.5802/aif.466}, mrnumber = {51 \#14081}, zbl = {0267.54033}, mrnumber = {377912}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIF_1973__23_2_159_0} }
Siebenmann, Laurent. Les stratifiés topologiques et les polyèdres. Annales de l'Institut Fourier, Tome 23 (1973) pp. 159-161. doi : 10.5802/aif.466. http://gdmltest.u-ga.fr/item/AIF_1973__23_2_159_0/
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