Mathematics. Articles in English (et en français dans le futur).

A long exact sequence of cohomology groups (zig-zag and diagram-chasing)

A long exact sequence of cohomology groups (zig-zag and diagram-chasing)

The Fourier transform of sinx/x and (sinx/x)^2 and more

In this post we compute the Fourier transform of $\sin{x}/x$ and $(\sin{x}/x)^2$ through contour integration.
The Fourier transform of sinx/x and (sinx/x)^2 and more

The Riesz-Markov-Kakutani Representation Theorem

In this post we develop a proof of the Riesz-Markov-Kakutani theorem on a locally compact Hausdorff space, which is the essential of the existence of the Lebesgue measure.
The Riesz-Markov-Kakutani Representation Theorem

The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)

The Big Three Pt. 4 - The Open Mapping Theorem (F-Space)

The completeness of the quotient space (topological vector space)

The completeness of the quotient space (topological vector space)