different between homotypic vs homotopic

English

homotypic (not comparable)

(botany) literally "with the same type". In botanical nomenclature a homotypic synonym (or nomenclatural synonym) is a synonym that comes into being through a nomenclatural act
1. when a taxon gets a new name, without being included in another taxon (of the same rank). The old name becomes a homotypic synonym of the new name.
2. when a new name for a taxon is coined without displacing the existing name, the new name becomes a homotypic synonym.
The zoological equivalent is "objective synonym".

homotopic (not comparable)

(topology, of two continuous maps) Such that there is a homotopy (a continuous deformation) taking one to the other.
(neuroscience) Having to do with or being a part of the correspondent region in the other brain hemisphere.
- 2013, Alexander G. Reeves, David W. Roberts, Epilepsy and the Corpus Callosum 2, Springer Science & Business Media (?ISBN), page 19:
  In somatosensory cortex, homotopic connections would be limited to portions of representations devoted to the body midline.
- 2017, Mark J. Ashley, David A. Hovda, Traumatic Brain Injury: Rehabilitation, Treatment, and Case Management, Fourth Edition, CRC Press (?ISBN), page 108:
  Jones, Kozlowski, Schallert, and colleagues have demonstrated plasticity not just surrounding the injured cortex, but also in remote cortical areas, such as the homotopic cortex contralateral to injury.
(phonetics, rare) Homorganic.

In mathematics, this adjective can be used in phrases like "A and B are homotopic", "A is homotopic to B", and, less commonly, "A is homotopic with B".

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