http://math.huji.ac.il/~piz/Site/The%20Blog/The%20Blog.html I put here some remarks and exercises on Diffeology. You can use them as long as you cite your source (as indicated on the post). Enjoy :-) I fixe also some mistakes or misprints found in the Book, Look the Errata file. iWeb 1.1.2 http://math.huji.ac.il/~piz/Site/The%20Blog/The%20Blog_files/arrows.png http://math.huji.ac.il/~piz/Site/The%20Blog/The%20Blog.html http://math.huji.ac.il/~piz/Site/The%20Blog/8ED29223-5E7A-40D1-A8BC-4AA61F9BE0EF.html http://math.huji.ac.il/~piz/Site/The%20Blog/8ED29223-5E7A-40D1-A8BC-4AA61F9BE0EF.html Wed, 5 Apr 2023 10:21:27 +0200 <a href="http://math.huji.ac.il/~piz/Site/The%20Blog/8ED29223-5E7A-40D1-A8BC-4AA61F9BE0EF_files/On%20Riemmanian%20Metric%20in%20Diffeology_1.png"><img src="http://math.huji.ac.il/~piz/Site/The%20Blog/Images/On%20Riemmanian%20Metric%20in%20Diffeology.png" style="float:left; padding-right:10px; padding-bottom:10px; width:128px; height:174px;"/></a>We propose a formal framework for Riemannian diffeology, with a definition for Riemannian metric tha http://math.huji.ac.il/~piz/Site/The%20Blog/9C46F885-116B-4A22-B1FF-FFCBAF520493.html http://math.huji.ac.il/~piz/Site/The%20Blog/9C46F885-116B-4A22-B1FF-FFCBAF520493.html Mon, 27 Mar 2023 09:20:51 +0200 <a href="http://math.huji.ac.il/~piz/Site/The%20Blog/9C46F885-116B-4A22-B1FF-FFCBAF520493_files/Poisson%20Brackets%20in%20Diffeology_1.png"><img src="http://math.huji.ac.il/~piz/Site/The%20Blog/Images/Poisson%20Brackets%20in%20Diffeology.png" style="float:left; padding-right:10px; padding-bottom:10px; width:128px; height:174px;"/></a>In this note we show how to understand the Poisson bracket in diffeology, working directly on the gr http://math.huji.ac.il/~piz/Site/The%20Blog/7689AB2A-7DFE-4B2F-B48C-DC56BCCC8979.html http://math.huji.ac.il/~piz/Site/The%20Blog/7689AB2A-7DFE-4B2F-B48C-DC56BCCC8979.html Sun, 10 Jul 2022 15:03:22 +0200 <a href="http://math.huji.ac.il/~piz/Site/The%20Blog/7689AB2A-7DFE-4B2F-B48C-DC56BCCC8979_files/Smooth%20Embeddings_1.png"><img src="http://math.huji.ac.il/~piz/Site/The%20Blog/Images/Smooth%20Embeddings.png" style="float:left; padding-right:10px; padding-bottom:10px; width:128px; height:174px;"/></a>Since Henri Joris (1982) we potentially know that, paradoxically, the semi-cubic y2 = x3 is an embed http://math.huji.ac.il/~piz/Site/The%20Blog/B75D832D-F750-4EEE-A804-DB9426C3A8FE.html http://math.huji.ac.il/~piz/Site/The%20Blog/B75D832D-F750-4EEE-A804-DB9426C3A8FE.html Tue, 15 Mar 2022 10:48:51 +0100 <a href="http://math.huji.ac.il/~piz/Site/The%20Blog/B75D832D-F750-4EEE-A804-DB9426C3A8FE_files/Diffeomorphisms%20of%20Geod%28T2%29_1.png"><img src="http://math.huji.ac.il/~piz/Site/The%20Blog/Images/Diffeomorphisms%20of%20Geod%28T2%29.png" style="float:left; padding-right:10px; padding-bottom:10px; width:128px; height:174px;"/></a>In this note we compute the group of diffeomorphisms of the sapce of geodesic trajectories of the 2- http://math.huji.ac.il/~piz/Site/The%20Blog/02891FB2-D2B5-4002-81C1-7D0D6F0D1E42.html http://math.huji.ac.il/~piz/Site/The%20Blog/02891FB2-D2B5-4002-81C1-7D0D6F0D1E42.html Tue, 15 Feb 2022 12:58:01 +0100 <a href="http://math.huji.ac.il/~piz/Site/The%20Blog/02891FB2-D2B5-4002-81C1-7D0D6F0D1E42_files/Diffeological%20spaces%20are%20locally%20connected_1.png"><img src="http://math.huji.ac.il/~piz/Site/The%20Blog/Images/Diffeological%20spaces%20are%20locally%20connected.png" style="float:left; padding-right:10px; padding-bottom:10px; width:128px; height:174px;"/></a>This short note to show that diffeological spaces are locally connected. That means that every D-ope