Hi,
I'd like to share some things that I wrote, mostly concerning my
studies:
- Some resources useful for studying
about the
bar construction.
- A lecture
I gave about the standard projective and injective model structures on
the category of chain complexes over some ring R. An interesting
point raised is the difference between a projective chain complex and a
chain complex which is level-wise
projective. In addition, it
has a nice listing of the main characterizations of projective and
injective objects in the category of R-modules.
- Here are notes for a lecture I gave in the preparatory
seminar our group had towards the May 2012 Sdot-Yam workshop. It's titled Mackey
Functors, but it's mostly an introduction to G-sets, along with
classification of G-equivariant maps, and the definition of Bredon
Cohomology.
- When I first studied LyX, it took me some effort to get into
it. I wished I had a concise (and short!) paper explaining just the things I needed in order
to begin working, instead of looking into long-long manuals. So here
are some LyX tips I wrote, as a result.
It's LyX source is
available here.
For those who require various diagrams, be it commutative diagrams,
braidings, knots, string diagrams and much more -- there is an excellent XY-pic
tutorial with an extensive archive of examples accompanied with the
code by Aaron Lauda.
In case you are looking for some specific LaTeX symbol, this is a neat tool
that can help you find it.
- For those interested in a delta-complex structure for RP^3
(3-dimensional real
projective space), my beloved wife Sandra made a neat video
demonstrating one,
following an Algebraic Topology class I had.
Some explanations about the
video:
What you see in the video are three stages of the construction:
- A double pyramid-like construction; simplices with same
name will eventually be identified.
- Now, imagine the two N-labeled
simplices are
bent towards each other, lying on the same planes as the M-labeled simplices. That's what you
see on the central shape.
- In the last, the more ball-like one, identify the L and U simplices to complete RP^3's
construction.
- Here are some class
notes I have taken over the years in a bunch of courses.
I can reached on
.

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