homotopy

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homotopy

[hō′mäd·ə·pē]
(mathematics)
Between two mappings of the same topological spaces, a continuous function representing how, in a step-by-step fashion, the image of one mapping can be continuously deformed onto the image of the other.
References in periodicals archive ?
To exploit the existence of multiple navigation paths in a WSN, our work is inspired by previous works in homotopic routing and information-guided routing.
In address this issue, we compared the interhemispheric functional connectivity among schizophrenia patients with complete remission, patients with incomplete remission, and healthy controls using a newly developed method of voxel-mirrored homotopic connectivity (VMHC).
The auxiliary parameters and for the functions and can adjust and control the convergence of homotopic solutions.
0]) is nullhomotopic if it is homotopic to a [gamma]' [member of] [[OMEGA].
I] a homotopic thinning of X if Y = X or Y was obtained from X by iterative deletion of simple points.
the usual context of cognition, information, syntax, simplex, and evolution) of inter-reflective, isomorphic, homotopic unity and multiplicity at all, let alone the immediate self-dual presence of subjects and objects (i.
According to the data of functional magnetic resonance tomography, during the recovery period after stroke, there is primary activation of right-sided speech (language) homotopic regions, whereas the area of the brain tissue surrounding the infarct is activated much later (Cappa, et al.
m]) are said to be homotopic if there exist continuous maps
Looking at the category of schemes from a homotopic perspective, Morel, who is not further identified, defines, for all reasonable schemes, the homotopy category of smooth category-schemes, and argues that this category plays the same role for smooth category-schemes as it does for the classical homotopic category for differentiable varieties.
Notice that the map [phi] is homotopic to the map [tau] o [phi] in [SIGMA] (this is the key observation in this proof).
In Hamamelis, Mione and Bogle (1990) describe an antepetalous whorl as nectary primordia, while they describe the homotopic antepetalous whorl of Loropetalum as sterile phyllomes.
Elaborating an idea of Michel Foucault's, Demetri Porphyrios identified Aalto's thinking as heterotopic in opposition to the usual Modernist homotopic manner of thought.