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Introduction to Cosmology

1 - Newton and anti-Newton Link
2 - Notion of geodesic Link
3 - Curvature (angular curvature, angular curvature density) Link
4 - Total curvature. Field-curvature equivalence Link
5 - General Relativity and curvature. The posicones Link
6 - The horse saddle, the negacone, the blunt negacone Link
7 - Conjugate geometries. Gravitational lens effect Link
8 - Invariance under coordinate change. False singularities Link
9 - True, intrinsic singularities Link
10 - Representation space Link
11 - Geometry with toric neck Link
12 - Metric and signature (first part)Link
13 - Metric and signature (second part) Link
14 - Metric and signature (Third part) Link
15 - Structure of space at microscopic scale, quantized space. Checkerboard model Link
16 - The soft checkerboard model Link
17 - Negative masses. Negative lensing. Effect on the confinement of positive masses Link
18 - The outstanding problems in contemporary cosmology Link
19 - Aristotle and Tycho Brahe, referees, respond to Copernicus Link
20 - The "model" of dark matter in cosmology Link
21 - The primitive universe. Remarks made at the Aspen colloquium, on superstrings Link
22 - Didactic image evoking the concept of manifold Link
23 - Conjugate curvatures Link

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