The purpose of this page is to assist me not to forget what I thought of doing, even if I were unable to do it due to lack of time. Please feel free to add your comments, suggestions and/or willingness to help with any of the planned items to the talk page of this list.
Planned New Articles
editThis section lists some articles that I have planned to create in Wikipedia. Please add your comments, suggestions and/or willingness to help with any of the planned items to the talk page.
- Separate article for Homotopy Equivalence (see Talk:Homotopy#New_article_for_homotopy_equivalence).
- A simple article for describing the differences between homotopy, homology and homeomorphism. (see Talk:Homotopy#Homology.2C_homotopy_and_homeomorphism).
- Article on local isometric embedding (Janet-Cartan theorem: ref-1, ref-2). Link it to Nash embedding theorem.
- Article on "gravity induced quantum interference".
- Article on "Nerve theorem" or "Nerve lemma" (and its sheaf-theoretic generalization).
Planned Contents
editThis section lists some contents that I have planned to add to some already-existing articles. Please add your comments, suggestions and/or willingness to help with any of the planned items to the talk page.
- n-sphere: Construction of n-sphere as the quotient space .
- Relative homology: Add better explanation, possibly an illustration. Write explicitly the inclusion, restriction maps on top of the arrows in the chains.
- Homotopy extension property: Create an illustration for describing HEP.
- Homotopy extension property: Fix the diagram. It is confusing.
- Deformation retract: Add an illustrative animation.
- Universal bundle: Section on on Milnor construction. This is a fundamental construction for defining universal bundles. (ref: Chapter 4 of "Fiber Bundles" by D. Husemoller)
- Topological K-theory: Expand on the definition.
- Schrödinger_equation: Axiomatic derivation of the equation using time evolution operator. See the talk page discussion.
