{'fraction_non_alphanumeric': 0.034482758620689655, 'fraction_numerical': 0.009074410163339383, 'mean_word_length': 5.0, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
C1-stability of naked singularities arising in an inhomogeneous dust collapse

Considering an inhomogeneous dust collapse we prove that, given an arbitrary C1-mass function F(r), there exist infinitely many C1-energy functions f(r) such that the initial data F(r) and f(r) lead the collapse to a strong-curvature naked singularity. Thus C1-mass functions constitute the true initial data for such a collapse. We further prove that the occurrence of such naked singularities is stable but not generic in C1-topology with respect to such mass functions.