Lecture 8, Theorem 3, printed p.135: Kähler reduction at zero; central-level qualification, p.136; scalar-circle projective-space example, pp.136–138. The cover identifies the 1991 Park City lectures and the corrected unofficial version of February 19, 2003.
Second edition, Graduate Texts in Mathematics 218, Springer. DOI: doi.org/10.1007/978-1-4419-9982-5
Theorem 9.44 and the paragraph immediately preceding it define local flow commutation on entire time rectangles. The text explicitly distinguishes this from merely requiring both endpoint compositions to exist for incomplete vector fields.
Princeton University Press book; inspected title page dates the edition 1963. Institutional scan: pagine.dm.unipi.it/~a019210/Milnor_Morse%20theory.pdf
Lemma 2.2 gives the exact smooth quadratic normal form and its completion-of-squares proof. Corollary 2.3 gives isolation of nondegenerate critical points and contrasts degenerate examples such as x cubed.
Section 1, pages 2–3, defines finite-separation wallspaces and explicitly calls their wall-count function a pseudometric. The arXiv version is dated 4 October 2004; the PDF also displays a later compilation date, which is not used as publication metadata.
New York Journal of Mathematics 14 (2008), pages 193–204. Theorem 1 distinguishes orientation-preserving and orientation-reversing closed geodesics for nonorientable surfaces. Sections 2–3 explain their different trace weights.
Section 1 states the compact orientable setting and oriented closed-geodesic multiplicities. Section 2, equation (1), page 3, gives the Selberg trace formula with its spectral normalization; the following discussion identifies primitive oriented geodesics and iterates.
Main theorem Section 6; Corollary 2 p487; pp471–472 explain punctured/open and bounded-punctured fibers.
Slides 12–21, especially slide 21 Dehn region/crossing figure. Author names retained as verified initials; no guessed expansion of S. Kim.
The opening note identifies this as an expanded version intended for a second edition, with standalone pages 1–28. Theorem A.6, pages 6–7, identifies compactly generated products with cellular products and states ordinary-product sufficient conditions. The opening construction gives the zero-skeleton/positive-cell attachment convention.
Geometry and Topology Monographs 16, pages 215–282. DOI: doi.org/10.2140/gtm.2009.16.215
Sections 2 and 5 fix the countably infinite inner-product universe, finite-subspace indexing and the strict indexed-spectrum model. The text uses the mathematical symbol E infinity in its title; the source-card spelling keeps a stable readable identifier.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact