have now removed the previous content of the section “References” (here) and replaced it by `!include`

-ing *homotopy theory and algebraic topology – references*.

So to further edit the list of references here, you need to edit there.

]]>Okay, I have started *homotopy theory and algebraic topology – references*, maybe best to further discuss in the thread there

Oh, I was thinking about such a thing and didn’t realize it was possible. Yes, probably good, but probably other things are higher priority.

]]>Okay, thanks. Maybe it would be best if I created an `!include`

- page *homotopy theory and algebraic topology –references*, so that we could edit in a single place and have it automatically synced to both entries. Maybe later.

added references under “Books with an emphasis on homotopy theory”

]]>added pointer to:

- Glen Bredon,
*Topology and Geometry*, Graduate texts in mathematics**139**, Springer 1993 (doi:10.1007/978-1-4757-6848-0, pdf)

added pointer to:

- Albrecht Dold,
*Lectures on Algebraic Topology*, Springer 1995 (doi:10.1007/978-3-642-67821-9 pdf)

added pointer to:

- Tammo tom Dieck,
*Topologie*, De Gruyter 2000 (doi:10.1515/9783110802542)

(despite the title, this is really algebraic topology)

]]>added pointer to:

- Tammo tom Dieck,
*Algebraic topology*. European Mathematical Society, Zürich (2008) (doi:10.4171/048)

added the pointers to:

Samuel Eilenberg, Norman Steenrod,

*Foundations of Algebraic Topology*, Princeton University Press 1952 (pdf, ISBN:9780691653297)Edwin Spanier,

*Algebraic topology*, Springer 1966 (doi:10.1007/978-1-4684-9322-1)

added pointer to:

]]>have added these pointers:

Sergei Novikov,

*Topology I – General survey*, in: Encyclopedia of Mathematical Sciences Vol. 12, Springer 1986 (doi:10.1007/978-3-662-10579-5)Jean Dieudonné,

*A History of Algebraic and Differential Topology, 1900 - 1960*, Modern Birkhäuser Classics 2009 (ISBN:978-0-8176-4907-4)

Added a link to Neil Strickland’s interactive demos page.

]]>Either it’s a coincidence, or maybe somebody was inspired by the above edits to ask (as you may have seen already) on MathOverflow: *What is modern algebraic topology(homotopy theory) about?*.

Sometimes I wish the entry hurdle to discussing on the nForum were lower. Are we sure we need to require people to apply for an account here?

]]>Since ’lifting’ had no link, I started lift with redirects. There will be plenty of links to put in.

]]>Okay, thanks.

(#6 has a typo in the link)

]]>I added few more improvements (I hope).

]]>I made the splitting and extended the entry algebraic topology significantly. Please take a look.

]]>Sure, please do.

]]>Urs, I think what you wrote is more suitable to an Overview section rather than the very idea. The idea is to study topological spaces via algebraic invariants or via functors from topological to algebraic categories. Period. Then one can also say that most (though not all, hence e.g. shape theory) useful functors are homotopy invariant.

The rest of the nice story you wrote may belong to an overview of present state of the matters,
but not the very *idea* of the subject. If somebody does not know what algebraic topology is it will not help to hear an explanation via advanced unexplained word “spectral sequence”. I think it would be more sensitive to split the entry into sections Idea and Overview. What do you think ?

Thanks. Maybe better this way. I have replaced it with a pointer to a pdf of just the toc.

]]>One of the links (to the book :Algebraic topology from a homotopical viewpoint) is not working.

]]>I have tried to give *algebraic topology* a better Idea-section.