Index for math memoranda
I. General
An anti-recommendation list of math books for beginners
https://wordpress.com/post/mathmusic52.com/436
A quiz in elementary geometry
https://wordpress.com/post/mathmusic52.com/506
II. Algebra
A study memo on algebra
https://wordpress.com/post/mathmusic52.com/57
The Galois group of the field of real numbers
https://wordpress.com/post/mathmusic52.com/321
A detailed proof of the correspondence theorem
https://wordpress.com/post/mathmusic52.com/352
On SL (2, Z) and SL (2, Z / NZ)
https://wordpress.com/post/mathmusic52.com/374
Groups of order p2
https://wordpress.com/post/mathmusic52.com/406
An interesting property of prime numbers greater than or equal to 5
https://wordpress.com/post/mathmusic52.com/303
Finite groups with at most one subgroup of any order are cyclic.
https://wordpress.com/post/mathmusic52.com/629
The subgroup structure of dihedral groups
https://wordpress.com/post/mathmusic52.com/649
Ext and Tor for Z/mZ and Z/nZ
https://wordpress.com/post/mathmusic52.com/661
On factorisation in R [X, Y] / (X2 + Y2 – 1) and C [X, Y] / (X2 + Y2 – 1)
https://wordpress.com/post/mathmusic52.com/684
Determination of Spec Z[X]
https://wordpress.com/post/mathmusic52.com/706
Projective vs flat
https://wordpress.com/post/mathmusic52.com/757
On some factor ring of a polynomial ring over Z
https://wordpress.com/post/mathmusic52.com/800
The Eckmann-Hilton argument
https://wordpress.com/post/mathmusic52.com/819
The Galois group of an infinite Galois extension has a non-closed subgroup.
https://wordpress.com/post/mathmusic52.com/943
Jacobson’s theorem on the commutativity of rings: case x3 = x
https://wordpress.com/post/mathmusic52.com/1470
The Quillen-Suslin Theorem
https://wordpress.com/post/mathmusic52.com/1474
Towers of quadratic extensions of Q
https://wordpress.com/post/mathmusic52.com/1478
Study memo on “Théorie algébrique des nombres”
https://wordpress.com/post/mathmusic52.com/1550
Introduction to Abelian Categories
https://wordpress.com/post/mathmusic52.com/1587
Introduction to Homological Algebra
https://wordpress.com/post/mathmusic52.com/1598
Chapters1-6 of “Galois Theory”
https://wordpress.com/post/mathmusic52.com/1606
Nullstellensatz
https://wordpress.com/post/mathmusic52.com/1623
Subrings of Q
https://wordpress.com/post/mathmusic52.com/1638
Artinian modules and exact sequences
https://wordpress.com/post/mathmusic52.com/1643
Normal groups are not “transitive”.
https://wordpress.com/post/mathmusic52.com/1649
A “visual” proof of Snake Lemma
https://wordpress.com/post/mathmusic52.com/1670
Representation of Finite Groups
Work in progress: Representation of Finite Groups + Algebra for Representation Theory
III. Topology/Geometry
Some remarks on general topology
https://wordpress.com/post/mathmusic52.com/118
Differential Topology, J. W. Milnor
https://wordpress.com/post/mathmusic52.com/32
Lectures on Characteristic Classes, J. W. Milnor
https://wordpress.com/post/mathmusic52.com/38
LE THÉORÈME DU h-COBORDISME (SMALE), Jean CERF et André GRAMAIN
https://wordpress.com/post/mathmusic52.com/49
A study memo on “First course in topology” by Fuks-Rokhlin
https://wordpress.com/post/mathmusic52.com/1342
A study memo on Chapters 0-3 of “Stable Homotopy”, J. M. Cohen
https://wordpress.com/post/mathmusic52.com/1364
A study memo on Chapters 1-4 of “K-Theory”
https://wordpress.com/post/mathmusic52.com/1528
Table of contents + Appendix for “Notes on Cobordism Theory”
https://wordpress.com/post/mathmusic52.com/1542
A study memo on Chapters 0-6 of “Sheaf Theory”
https://wordpress.com/post/mathmusic52.com/1564
Complex n-manifolds are orientable.
https://wordpress.com/post/mathmusic52.com/1574
Chapters 1-4 of “Differential Geometry”
https://wordpress.com/post/mathmusic52.com/1654
Homotopy theory : unfinished notes
https://wordpress.com/post/mathmusic52.com/1818
Singular homology theory
https://wordpress.com/post/mathmusic52.com/2022
“An Introduction to Topology” by E. C. Zeeman
https://wordpress.com/post/mathmusic52.com/1837
“Differential Topology” and “Differential Group Actions” by C. T. C. Wall
https://wordpress.com/post/mathmusic52.com/1843
“Weak Equivalences and Quasifibrations” by J. P. May : LaTeXed
https://wordpress.com/post/mathmusic52.com/1854
“Basic Homotopy Theory” by M. M. Postnikov
“Basic Homotopy Theory” by M. M. Postnikov, translated by the site owner
Acyclic models: unfinished notes.
https://wordpress.com/post/mathmusic52.com/1903
Study memo for “Introduction to differential topology” by Brocker-Janich
https://wordpress.com/post/mathmusic52.com/1910
“Homotopy Theory of Cellular Spaces” by M. M. Postnikov
https://wordpress.com/post/mathmusic52.com/2174
“Morse Theory” by M. M. Postnikov
A study memo on “Cohomology Theories” by E. Dyer
MMM 