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World Solve

A project of Team Humans Club · Est. 2026
1355 problems catalogued
3 Humans contributing

What World Solve is

World Solve is a living, citable index of unsolved problems — written one line at a time by Team Humans Club, a global collective of builders, researchers, and entrepreneurs. We do not solve the problems here. We Democratize Innovation.

For buildersSkip the search for a problem worth your time. Browse a vetted, growing list and start where the gap is real.
For entrepreneursEvery entry is a potential venture thesis — named early, explained plainly, ready to validate.
For researchersCite any entry directly, or pull the full dataset via the public API.
1355total logged
1355still open
0marked solved
3registered Humans

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

open Mathematics & Logic

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.

#three#dimensional#know#whether#every#mathematics-logic
Related: WS01242 → WS01237 (20%) WS01242 → WS01246 (18%) WS01242 → WS01281 (14%) WS01242 → WS01313 (13%)
WS01242 · cite this  ·  logged 19 Jul 2026  ·  by Human internet (The Internet (gray_matter))
Team Humans Club. (2026). Problem WS01242: We don't know whether every simply connected three-dimensional shape without holes can always be continuously deformed into a sphere.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1242