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» Homotopy in Digital Spaces
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DGCI
2000
Springer
13 years 9 months ago
Homotopy in Digital Spaces
Rafael Ayala, Eladio Domínguez, Angel R. Fr...
MCS
2007
Springer
13 years 4 months ago
Continuous and discrete homotopy operators: A theoretical approach made concrete
Using standard calculus, explicit formulas for the one-dimensional continuous and discrete homotopy operators are derived. It is shown that these formulas are equivalent to those ...
W. Hereman, Bernard Deconinck, L. D. Poole
DM
2007
84views more  DM 2007»
13 years 4 months ago
The topology of spaces of phylogenetic trees with symmetry
Natural Dowling analogues of the complex of phylogenetic trees are studied. Using discrete Morse theory, we find their homotopy types. In the process, the homotopy types of certai...
Axel Hultman
APAL
2010
70views more  APAL 2010»
13 years 5 months ago
Locally definable homotopy
In [1] it was developed o-minimal homotopy for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we also extend these res...
Elías Baro, Margarita Otero
ISSAC
2007
Springer
99views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Computing monodromy via parallel homotopy continuation
Numerical homotopy continuation gives a powerful tool for the applied scientist who seeks solutions to a system of polynomial equations. Techniques from numerical homotopy continu...
Anton Leykin, Frank Sottile