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Derived from
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20410465 GE450 - ALGEBRAIC TOPOLOGY in Mathematics LM-40 MASCARENHAS MELO ANA MARGARIDA
(syllabus)
Categories.
Abstract and geometrical implicial complexes.
Singular homology and simplicial homology.
Cohomology
Duality Theorems
Persistent homology and data analysis
Elements of differential topology
Differential forms and de Rham cohomology
(reference books)
Allen Hatcher: Algebraic topology Cambridge University press.
Vidit Nanda: Computational Algebraic Topology - Lecture notes
James R. Munkres : Topology Prentice Hall.
Raoul Bott, Loring W. Tu,Differential forms in algebraic topology.Springer, (1986).
Marco Abate, Francesca Tovena,Geometria Differenziale.Springer, (2011).
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Università Roma Tre