{"id":51258,"date":"2025-12-28T07:00:00","date_gmt":"2025-12-28T07:00:00","guid":{"rendered":"http:\/\/hoo.central12.com\/fugic\/?guid=9aea428ae0f17fdb2de7daad7ad7c714"},"modified":"2025-12-28T07:00:00","modified_gmt":"2025-12-28T07:00:00","slug":"behold-the-manifold-the-concept-that-changed-how-mathematicians-view-space","status":"publish","type":"post","link":"https:\/\/hoo.central12.com\/fugic\/2025\/12\/28\/behold-the-manifold-the-concept-that-changed-how-mathematicians-view-space\/","title":{"rendered":"Behold the Manifold, the Concept that Changed How Mathematicians View Space"},"content":{"rendered":"In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.","protected":false},"excerpt":{"rendered":"<p>In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.<\/p>\n","protected":false},"author":838,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,2634,3246],"tags":[],"class_list":["post-51258","post","type-post","status-publish","format-standard","hentry","category-science","category-science-physics-and-math","category-shaping-up"],"_links":{"self":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts\/51258"}],"collection":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/users\/838"}],"replies":[{"embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/comments?post=51258"}],"version-history":[{"count":1,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts\/51258\/revisions"}],"predecessor-version":[{"id":51259,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/posts\/51258\/revisions\/51259"}],"wp:attachment":[{"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/media?parent=51258"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/categories?post=51258"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hoo.central12.com\/fugic\/wp-json\/wp\/v2\/tags?post=51258"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}