More on Regular Sets

1997 ◽  
pp. 19-24
Author(s):  
Dexter C. Kozen
Keyword(s):  
Regular Sets

scholarly journals Prox-regular sets and Legendre-Fenchel transform related to separation properties

Optimization ◽  
2020 ◽  
pp. 1-33
Author(s):  
Samir Adly ◽  
Florent Nacry ◽  
Lionel Thibault
Keyword(s):  
Fenchel Transform ◽  
Regular Sets

scholarly journals Plenty of big projections imply big pieces of Lipschitz graphs

2021 ◽  
Author(s):  
Tuomas Orponen
Keyword(s):  
Lipschitz Graphs ◽  
Regular Sets ◽  
Big Pieces

AbstractI prove that closed n-regular sets $$E \subset {\mathbb {R}}^{d}$$ E ⊂ R d with plenty of big projections have big pieces of Lipschitz graphs. In particular, these sets are uniformly n-rectifiable. This answers a question of David and Semmes from 1993.

Equational axioms for regular sets

1993 ◽  
Vol 3 (1) ◽  
pp. 1-24 ◽  
Author(s):  
S. L. Bloom ◽  
Z. Ésik
Keyword(s):  
Star Operation ◽  
Regular Sets

We show that, aside from the semiring equations, three equations and two equation schemes characterize the semiring of regular sets with the Kleene star operation.

More on Regular Sets

1977 ◽  
pp. 19-24
Author(s):  
Dexter C. Kozen
Keyword(s):  
Regular Sets
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