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math.CT2018
Flabby and injective objects in toposes
Ingo Blechschmidt
We introduce a general notion of flabby objects in elementary toposes and study their basic properties. In the special case of localic toposes, this notion reduces to the common no…
math.AC2018
An elementary and constructive proof of Grothendieck's generic freeness lemma
Ingo Blechschmidt
We present a new and direct proof of Grothendieck's generic freeness lemma in its general form. Unlike the previously published proofs, it does not proceed in a series of reduction…