Subject: Re: book suggestions: beginning algebraic topology
Date: Thu, 05 Sep 2002 16:48:56 +0100
From: Ronnie Brown
> Shameless self-promotions are also welcome!
Noting this, I should advertise my book
Topology: a geometric account of general topology, homotopy types, and the
fundamental groupoid, Ellis Horwood, Chichester (1988) 460 pp.
unfortunately out of print but if there were lots of buyers I could
consider printing versions while I get on sometime with completing a new
latex edition (a lot done).
This book consistently exploits the fundamental groupoid, and presents
the (heretical?) view that all of 1-dimensional homotopy theory is better
presented in terms of groupoids rather than groups (e.g. more powerful
theorems with simpler proofs). This is still the only source, for example,
for the theorem of Brown and Higgins on the fundamental groupoid of an
orbit space by a discontinuous action of a discrete group, with which you
can really calculate.
I refer to Math Reviews for a review (90k:54001).
Ronnie Brown
Don Davis wrote:
>
> Subject: beginning algebraic topology
> Date: Fri, 30 Aug 2002 01:51:10 +0000
> From: "Kostas. - - -"
>
> I brought to bear in mind the following, concerning algebraic topology
> at
> the beginning graduate level; and hoping that forum could dwell on for
> a
> few seconds and write a blurb or two in response (which, by the way,
> would
> be greatly appreciated): with so many existing texts on the market (old
> and
> new, constituting some reprinted classics, and others harder to find),
> which would you recommend as required reading (say, for a first course,
> assuming a modest background in algebra [if not, then I'm sure Massey
> would
> do]). I tend to favour the homotopical approach taken by authors,
> which
> gives an added impetus to a first exposition, as far as I'm concerned.
>
> Shameless self-promotions are also welcome!
>
> Again, thanks,
> A. Markos
> McGill U.
--
Professor Emeritus R. Brown,
School of Informatics, Mathematics Division,
University of Wales, Bangor
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United Kingdom
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