谱序列的书及讲义
谱序列的书
1.weibel
2.McCleary
http://www.maths.ed.ac.uk/~aar/papers/mccleary.pdf
3.Bott Tu
has some very nice exposition on spectral sequences. It has a fairly geometrical starting point, motivating the whole subject by generalizing the Meyer-Vietoris sequence to more complicated coverings and relating Cech cohomology to de Rham cohomology.
4.Rotman
5.Allen Hatcher http://www.math.cornell.edu/~hatcher/SSAT/SSATpage.html
6.The heart of cohomology Goro kato
7.Ken Brown's book, "Cohomology of groups"
8. Hilton & Stammbach's book "A Course in Homological Algebra" that did a good job of showing how the general idea works for Abelian categories.
讲义
You could have invented spectral sequences Timothy Y.Chow
http://www.ams.org/notices/200601/fea-chow.pdf
I would recommend that everyone's very first (zeroth?) introduction would be Timothy Chow's excellent short article You Could Have Invented Spectral Sequences. It doesn't give a lot of technical details, but it will definitely remove your fear before you start on a more advanced exposition.
Spectral sequences:friend or foe? Ravi Vakil
http://math.stanford.edu/~vakil/0708-216/216ss.pdf
A History of Spectral Sequences John McCleary
http://algtop.net/docs/conf/ren-uir-2013/slides/MeknesTalk2013.pdf
MR0243527 (39 #4848) Mitchell, Barry . Spectral sequences for the layman. Amer. Math. Monthly 76 1969 599--605.
MR1721118 (2000m:55003) McCleary, John . A history of spectral sequences: origins to 1953. History of topology, QA611.A3 H57 1999 631--663, North-Holland, Amsterdam, 1999.
Matthew Greenberg:Spectral sequences http://www.math.mcgill.ca/goren/SeminarOnCohomology/specseq.pdf
Tom Weston:Inflation-Restriction sequence http://www.math.mcgill.ca/goren/SeminarOnCohomology/infres.pdf
http://www.math.umass.edu/~weston/ep.html
http://www.cmi.ac.in/~suman/academic/pranab/node2.html
Romero, Rubio, Sergeraert : Computing Spectral Sequences : http://www-fourier.ujf-grenoble.fr/~sergerar/Papers/Ana-JSC.pdf
http://therisingsea.org/notes/SpectralSequences.pdf.
1.weibel
2.McCleary
http://www.maths.ed.ac.uk/~aar/papers/mccleary.pdf
3.Bott Tu
has some very nice exposition on spectral sequences. It has a fairly geometrical starting point, motivating the whole subject by generalizing the Meyer-Vietoris sequence to more complicated coverings and relating Cech cohomology to de Rham cohomology.
4.Rotman
5.Allen Hatcher http://www.math.cornell.edu/~hatcher/SSAT/SSATpage.html
6.The heart of cohomology Goro kato
7.Ken Brown's book, "Cohomology of groups"
8. Hilton & Stammbach's book "A Course in Homological Algebra" that did a good job of showing how the general idea works for Abelian categories.
讲义
You could have invented spectral sequences Timothy Y.Chow
http://www.ams.org/notices/200601/fea-chow.pdf
I would recommend that everyone's very first (zeroth?) introduction would be Timothy Chow's excellent short article You Could Have Invented Spectral Sequences. It doesn't give a lot of technical details, but it will definitely remove your fear before you start on a more advanced exposition.
Spectral sequences:friend or foe? Ravi Vakil
http://math.stanford.edu/~vakil/0708-216/216ss.pdf
A History of Spectral Sequences John McCleary
http://algtop.net/docs/conf/ren-uir-2013/slides/MeknesTalk2013.pdf
MR0243527 (39 #4848) Mitchell, Barry . Spectral sequences for the layman. Amer. Math. Monthly 76 1969 599--605.
MR1721118 (2000m:55003) McCleary, John . A history of spectral sequences: origins to 1953. History of topology, QA611.A3 H57 1999 631--663, North-Holland, Amsterdam, 1999.
Matthew Greenberg:Spectral sequences http://www.math.mcgill.ca/goren/SeminarOnCohomology/specseq.pdf
Tom Weston:Inflation-Restriction sequence http://www.math.mcgill.ca/goren/SeminarOnCohomology/infres.pdf
http://www.math.umass.edu/~weston/ep.html
http://www.cmi.ac.in/~suman/academic/pranab/node2.html
Romero, Rubio, Sergeraert : Computing Spectral Sequences : http://www-fourier.ujf-grenoble.fr/~sergerar/Papers/Ana-JSC.pdf
http://therisingsea.org/notes/SpectralSequences.pdf.
