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 ?
In addition, olanzapine can modulate the long and short range functional connectivity and homotopic connectivity of patients with schizophrenia.
The primary finding of this work is the hyperthyroidism-related reduction of brain homotopic connectivity in the hyperthyroid group.
which is homotopic to the map [l.sub.0] taking ([z.sub.0], ([v.sub.i])) to ([z.sub.0.sup.1-d] [v.sub.i]).
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.
We say that [phi] and [psi] are homotopic (written [phi] ~ [psi]), provided there exists a compact acyclic map [chi]: X x [0,1] [??] X such that [chi](x, 0) = [phi](x) and [chi](x, 1) = [psi](x), for every x [member of] X.
In order to use a homotopic method to compute the degree, we assume that h : [0, T] x [R.sup.n] x [0,1] [right arrow] [R.sup.n] is a continuous function such that
Voxel-mirrored homotopic connectivity (VMHC) is a new methodology for analyzing interhemispheric functional connectivity on the basis of resting-state functional magnetic resonance imaging (rs-fMRI) [17].
Therefore, we aimed to investigate this relationship using voxel-mirrored homotopic connectivity (VMHC) method.
Callosal axon terminals were also found in homotopic regions in the contralateral S1.
A Fredholm property is stable under compact and small perturbations, and Ind A is a homotopic invariant of the operator A [5].
Hence any two maps from B to Gr(H) are homotopic, and any two continuous fields of infinite dimensional spaces over B are isomorphic.