scholarly journals An Oka Principle for a Parametric Infinite Transitivity Property

2016 ◽  
Vol 27 (3) ◽  
pp. 2018-2043 ◽  
Author(s):  
Frank Kutzschebauch ◽  
Alexandre Ramos-Peon
Keyword(s):  
Oka Principle ◽  
Transitivity Property

On the Oka principle in a Banach space, I

2003 ◽  
Vol 326 (3) ◽  
pp. 417-441 ◽  
Author(s):  
Imre Patyi
Keyword(s):  
Banach Space ◽  
Oka Principle

scholarly journals Transitive action on finite points of a full shift and a finitary Ryan’s theorem

2017 ◽  
Vol 39 (06) ◽  
pp. 1637-1667 ◽  
Author(s):  
VILLE SALO
Keyword(s):  
Automorphism Group ◽  
Commutator Subgroup ◽  
Turing Machines ◽  
Finite Support ◽  
Transitive Action ◽  
Group Invariant ◽  
Finite Set ◽  
Transitivity Property ◽  
Full Shift ◽  
Subshifts Of Finite Type

We show that on the four-symbol full shift, there is a finitely generated subgroup of the automorphism group whose action is (set-theoretically) transitive of all orders on the points of finite support, up to the necessary caveats due to shift-commutation. As a corollary, we obtain that there is a finite set of automorphisms whose centralizer is $\mathbb{Z}$ (the shift group), giving a finitary version of Ryan’s theorem (on the four-symbol full shift), suggesting an automorphism group invariant for mixing subshifts of finite type (SFTs). We show that any such set of automorphisms must generate an infinite group, and also show that there is also a group with this transitivity property that is a subgroup of the commutator subgroup and whose elements can be written as compositions of involutions. We ask many related questions and prove some easy transitivity results for the group of reversible Turing machines, topological full groups and Thompson’s  $V$ .

scholarly journals Model structures and the Oka Principle

2004 ◽  
Vol 192 (1-3) ◽  
pp. 203-223 ◽  
Author(s):  
Finnur Lárusson
Keyword(s):  
Oka Principle ◽  
Model Structures

scholarly journals Gromov’s Oka Principle for Equivariant Maps

2020 ◽  
Author(s):  
Frank Kutzschebauch ◽  
Finnur Lárusson ◽  
Gerald W. Schwarz
Keyword(s):  
Equivariant Maps ◽  
Oka Principle

scholarly journals An equivariant parametric Oka principle for bundles of homogeneous spaces

2017 ◽  
Vol 370 (1-2) ◽  
pp. 819-839 ◽  
Author(s):  
Frank Kutzschebauch ◽  
Finnur Lárusson ◽  
Gerald W. Schwarz
Keyword(s):  
Homogeneous Spaces ◽  
Oka Principle

On the transitivity property

1986 ◽  
Vol 20 (2) ◽  
pp. 241-243 ◽  
Author(s):  
S.V. Ovchinnikov
Keyword(s):  
Transitivity Property

scholarly journals Approximate transitivity property and Lebesgue spectrum

2010 ◽  
Vol 161 (2) ◽  
pp. 121-144 ◽  
Author(s):  
E. H. El Abdalaoui ◽  
M. Lemańczyk
Keyword(s):  
Lebesgue Spectrum ◽  
Transitivity Property ◽  
Approximate Transitivity
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