Geodesic
Deformation retracts to intersections of Whitney stratifications
Journal of Singularities, Tome 22 (2020), pp. 315-320

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We give a counterexample to a conjecture of Eyral on the existence of deformation retracts to intersections of Whitney stratifications embedded in a smooth manifold. We then prove that the conjecture holds if the stratifications are definable in some o-minimal structure without assuming any regularity conditions. Moreover, we also show that the conjecture holds for Whitney stratifications if they intersect transversally. 
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     author = {Saurabh Trivedi and David Trotman},
     title = {Deformation retracts to intersections of {Whitney} stratifications},
     journal = {Journal of Singularities},
     pages = {315--320},
     publisher = {mathdoc},
     volume = {22},
     year = {2020},
     doi = {10.5427/jsing.2020.22s},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.22s/}
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Saurabh Trivedi; David Trotman. Deformation retracts to intersections of Whitney stratifications. Journal of Singularities, Tome 22 (2020), pp. 315-320. doi: 10.5427/jsing.2020.22s

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