### Reading and notes

I) List of books for which I'm reading in part or completely or just referred to.
General Topology:
+ James Munkres, Topology, 2nd Edition.
+ Nông Quốc Chinh, Topo đại cương.
+ Huynh Quang Vu, Lecture note on topology.

Algebraic Topology:
+ Allan Hatcher, Algebraic Topology.
+ Joseph J.Rotman, An Introduction to Algebraic Topology by Joseph Rotman.
+ William S.Massey, A basic course in Algebraic Topology.

Combinatorial Topology:
+ Jonathan Barmak, Algebraic Topology of Finite Topological Spaces and Applications.

Homological Algebra:
+ Joseph J.Rotman, An Introduction to homological algebra.
+ Charles Weibel, An Introduction to homological algebra.
+ Thomas Scott Blyth, Module theory - An approach to linear algebra.

Cohomology operations:
+ Mosher & Tangora, Cohomology operations and applications to homotopy theory.

Bundle theory, topological K - theory and characteristic classes:
+ J.Cohen, Lecture note, the Topology of fibre bundles.
+ Allan Hatcher, Vector bundle and K-theory.

Spectral sequence:
+ Allan Hatcher, Spectral sequences in Algebraic Topology.

Commutative Algebra and Algebraic Geometry:
+ M.Atiyah & McDonald, Introduction to commutative algebra.
+ Ravi Vakil, Foundation of Algebraic Geometry.

II) Papers
+ J.F.Adams ( 1960 ), "On the non-existence of elements of Hopf invariant one", The Annals of Mathematics, Vol 72.

+ Brown, Abstract homotopy, Trans, AMS, 1965, 79--85.

+ J.F.Adams, A variant of Brown representability theorem. Topology, Vol 10, 1971, 185--198.

+  N.Cianci, M.Ottina, A new spectral sequence for homology of posets, Topology Appl.217 (2017) 1-19.

+ N.Cianci, M.Ottina, Poset splitting and minimality of finite models, Journal of combinatorial theory, Series A 157 (2018) 120-161.

III) My notes

A collection of my mathematical notes are given here.

### Van der Corput Lemma

Let $k \geq 2$. Assume that $\phi: \mathbb{R} \to \mathbb{R}$ is of class $C^k$ such that $\phi^{(k)}(x) \neq 0 \ \forall x \in [a,b]$. The ...