#smale — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #smale, aggregated by home.social.
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Difficulty of proving the Generalized Poincaré Conjecture as a function of dimension:
n=1: Trivial
n=2: Easy (19th century)
n=3: Perelman (2003), declined Fields Medal
n=4: Freedman (1982), won Fields Medal
n≥5: Smale (1961), won Fields Medal
The difficulty of the generalized Poincaré conjecture is non-monotonic in dimension!
#Poincaré #PoincaréConjecture #Perelman #FieldsMedal #Geometry #MillenniumPrize #GrigoriPerelman #HenriPoincaré #Freedman #Smale #Conjecture
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Difficulty of proving the Generalized Poincaré Conjecture as a function of dimension:
n=1: Trivial
n=2: Easy (19th century)
n=3: Perelman (2003), declined Fields Medal
n=4: Freedman (1982), won Fields Medal
n≥5: Smale (1961), won Fields Medal
The difficulty of the generalized Poincaré conjecture is non-monotonic in dimension!
#Poincaré #PoincaréConjecture #Perelman #FieldsMedal #Geometry #MillenniumPrize #GrigoriPerelman #HenriPoincaré #Freedman #Smale #Conjecture
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Difficulty of proving the Generalized Poincaré Conjecture as a function of dimension:
n=1: Trivial
n=2: Easy (19th century)
n=3: Perelman (2003), declined Fields Medal
n=4: Freedman (1982), won Fields Medal
n≥5: Smale (1961), won Fields Medal
The difficulty of the generalized Poincaré conjecture is non-monotonic in dimension!
#Poincaré #PoincaréConjecture #Perelman #FieldsMedal #Geometry #MillenniumPrize #GrigoriPerelman #HenriPoincaré #Freedman #Smale #Conjecture
-
Difficulty of proving the Generalized Poincaré Conjecture as a function of dimension:
n=1: Trivial
n=2: Easy (19th century)
n=3: Perelman (2003), declined Fields Medal
n=4: Freedman (1982), won Fields Medal
n≥5: Smale (1961), won Fields Medal
The difficulty of the generalized Poincaré conjecture is non-monotonic in dimension!
#Poincaré #PoincaréConjecture #Perelman #FieldsMedal #Geometry #MillenniumPrize #GrigoriPerelman #HenriPoincaré #Freedman #Smale #Conjecture