@article{TEXTUAL,
      recid = {12673},
      author = {del Pino, Álvaro and Shin, Tobias},
      title = {Microflexiblity and local integrability of horizontal  curves},
      journal = {Mathematische Nachrichten},
      address = {2024-06-16},
      number = {TEXTUAL},
      abstract = {&lt;p&gt;Let 𝜉 be an analytic bracket-generating distribution.  We show that the subspace of germs that are singular (in  the sense of control theory) has infinite codimension  within the space of germs of smooth curves tangent to 𝜉. We  formalize this as an asymptotic statement about finite jets  of tangent curves. This solves, in the analytic setting, a  conjecture of Eliashberg and Mishachev regarding an earlier  claim by Gromov about the microflexibility of the tangency  condition.&lt;/p&gt; &lt;p&gt;From these statements it follows, by an  argument due to Gromov, that the ℎ-principle holds for maps  and immersions transverse to 𝜉.&lt;/p&gt;},
      url = {http://knowledge.uchicago.edu/record/12673},
}