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ACS
2007
13 years 7 months ago
Directed Algebraic Topology, Categories and Higher Categories
Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A ‘directed space’ has directed homotopies (generally non reversible), directed homology gro...
Marco Grandis
MICS
2010
123views more  MICS 2010»
13 years 6 months ago
On the Topology of Real Algebraic Plane Curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
CLASSIFICATION
2008
84views more  CLASSIFICATION 2008»
13 years 7 months ago
Degenerating Families of Dendrograms
Dendrograms used in data analysis are ultrametric spaces, hence objects of nonarchimedean geometry. It is known that there exist p-adic representations of dendrograms. Completed b...
Patrick Erik Bradley
CG
2005
Springer
13 years 7 months ago
Geometric computing in computer graphics using conformal geometric algebra
Early in the development of Computer Graphics it was realized that projective geometry was well suited for the representation of transformations. Now, it seems that another change...
Dietmar Hildenbrand
DAGSTUHL
2003
13 years 9 months ago
Generating Kummer Type Formulas for Hypergeometric Functions
Abstract. Kummer type formulas are identities of hypergeometric series. A symmetry by the permutations of n-letters yields these formulas. We will present an algorithmic method to ...
Nobuki Takayama