Then it is necessarily a three-dimensional sphere. Attempts to resolve the conjecture drove much progress in the field of geometric topology during the 20th century. " images generated with AI

artificialguybr BetterText.Redmond - Improving Text on SDXL Concept LORA power girl comic in 4 panels by Goro Fujita Originally conjectured by Henri Poincar in 1904 the theorem concerns spaces that locally look like ordinary three-dimensional space but which are finite in extent. text " Poincar hypothesized that if such a space has the additional property that each loop in the space can be continuously tightened to a point then it is necessarily a three-dimensional sphere. Attempts to resolve the conjecture drove much progress in the field of geometric topology during the 20th century. "

artificialguybr BetterText.Redmond - Improving Text on SDXL Concept LORA power girl comic in 4 panels by Goro Fujita Originally conjectured by Henri Poincar in 1904 the theorem concerns spaces that locally look like ordinary three-dimensional space but which are finite in extent. text " Poincar hypothesized that if such a space has the additional property that each loop in the space can be continuously tightened to a point then it is necessarily a three-dimensional sphere. Attempts to resolve the conjecture drove much progress in the field of geometric topology during the 20th century. "

artificialguybr BetterText.Redmond - Improving Text on SDXL Concept LORA power girl comic in 4 panels by Goro Fujita Originally conjectured by Henri Poincar in 1904 the theorem concerns spaces that locally look like ordinary three-dimensional space but which are finite in extent. text " Poincar hypothesized that if such a space has the additional property that each loop in the space can be continuously tightened to a point then it is necessarily a three-dimensional sphere. Attempts to resolve the conjecture drove much progress in the field of geometric topology during the 20th century. "