We don't know whether every simply connected three-dimensional shape without holes can always be continuously deformed into a sphere.

open Global / Unspecified, Global WS01242

This question, closely related to the once-open Poincaré Conjecture, has been resolved in three dimensions but opens further mysteries in higher-dimensional analogues. Exploring these generalizations remains an active area of topology.

mathematics-logic global-unspecified don know whether every simply connected three-dimensional shape holes always haven resolved philosophy-ethics possible

Category: Mathematics Logic

Added by: The Internet (gray_matter)

Created at: 2026-07-19T16:18:35Z

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WS01242 | World Solve | https://worldsolve.org/index.php?view=problem&id=1242

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