Strata in the deformation of real isolated singularities are in general non contractible
Compositio Mathematica, Tome 40 (1980) no. 3, pp. 315-317. 
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     author = {Acquistapace, F. and Broglia, F. and Lazzeri, F.},
     title = {Strata in the deformation of real isolated singularities are in general non contractible},
     journal = {Compositio Mathematica},
     pages = {315--317},
     publisher = {Sijthoff et Noordhoff International Publishers},
     volume = {40},
     number = {3},
     year = {1980},
     mrnumber = {571053},
     zbl = {0433.14001},
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     url = {http://archive.numdam.org/item/CM_1980__40_3_315_0/}
}
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Acquistapace, F.; Broglia, F.; Lazzeri, F. Strata in the deformation of real isolated singularities are in general non contractible. Compositio Mathematica, Tome 40 (1980) no. 3, pp. 315-317. http://archive.numdam.org/item/CM_1980__40_3_315_0/

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