1,864 research outputs found
A criterion for existence of right-induced model structures
Suppose that is a functor whose target is a
Quillen model category. We give a succinct sufficient condition for the
existence of the right-induced model category structure on in the
case when admits both adjoints. We give several examples, including
change-of-rings, operad-like structures, and anti-involutive structures on
infinity categories. For the last of these, we explore anti-involutive
structures for several different models of -categories, and show
that known Quillen equivalences between base model categories lift to
equivalences
On PNT equivalences for Beurling numbers
In classical prime number theory several asymptotic relations are considered to be "equivalent" to the prime number theorem. In the setting of Beurling generalized numbers, this may no longer be the case. Under additional hypotheses on the generalized integer counting function, one can however still deduce various equivalences between the Beurling analogues of the classical PNT relations. We establish some of the equivalences under weaker conditions than were known so far
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