This word is acceptable for play in the UK dictionary that is being used in the following games:

• Lexulous
• Wordscraper
• Wordosaur

n. a property of two intersecting submanifolds, where at every intersection point, their separate tangent spaces at that point together generate the tangent space of the ambient manifold at that point.

n. The state or condition of being transversal.

"There, an enlightened public official is pursuing a policy of “transversalidad” transversality, which we might translate as “cross-cutting collaboration,” getting people out of their departmental “silos” to work together."

tangency   

transversal    transverse    transversally   

transversality condition