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Some results on Spectral spaces and Spectral sequences
This thesis is made up of two independent parts. We begin the first part by showing that
the collection of all prime ideals of a monoid or, in other words, the spectrum of a commutative
monoid, endowed with the Zariski ...
Borsuk-Ulam Theorem And Its Equivalent Formulations
(2011-09-28)
Relative Symplectic Caps, Fibered Knots And 4-Genus
(2014-04-07)
The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjecture, proved ...
Vector Bundles Over Hypersurfaces Of Projective Varieties
(2014-06-02)
In this thesis we study some questions related to vector bundles over hypersurfaces. More precisely, for hypersurfaces of dimension ≥ 2, we study the extension problem of vector bundles. We find some cohomological conditions ...