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.
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.
@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}, pages = {159--161}, publisher = {Imprimerie Durand}, address = {28 - Luisant}, volume = {23}, number = {2}, year = {1973}, doi = {10.5802/aif.466}, zbl = {0267.54033}, mrnumber = {51 #14081}, language = {fr}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.466/} }
TY - JOUR TI - Les stratifiés topologiques et les polyèdres JO - Annales de l'Institut Fourier PY - 1973 DA - 1973/// SP - 159 EP - 161 VL - 23 IS - 2 PB - Imprimerie Durand PP - 28 - Luisant UR - https://aif.centre-mersenne.org/articles/10.5802/aif.466/ UR - https://zbmath.org/?q=an%3A0267.54033 UR - https://www.ams.org/mathscinet-getitem?mr=51 #14081 UR - https://doi.org/10.5802/aif.466 DO - 10.5802/aif.466 LA - fr ID - AIF_1973__23_2_159_0 ER -
Siebenmann, Laurent. Les stratifiés topologiques et les polyèdres. Annales de l'Institut Fourier, Volume 23 (1973) no. 2, pp. 159-161. doi : 10.5802/aif.466. https://aif.centre-mersenne.org/articles/10.5802/aif.466/
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