Geodesic
Embeddings into ${\cal P}({\Bbb N})/{\rm fin}$ and extension of automorphisms
A. Bella 1   ; A. Dow 2   ; K. P. Hart 3   ; M. Hrusak 4   ; J. van Mill 4   ; P. Ursino 5
1 Dipartimento di Matematica Università di Catania 95125 Catania, Italy
2 Mathematics Department UNC Charlotte 9201 University City Blvd. Charlotte, NC 28223, U.S.A.
3 Faculty of Information Technology and Systems TU Delft Postbus 5031 2600 GA Delft, The Netherlands
4 Division of Mathematics Faculty of Sciences Vrije Universiteit De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands
5 Dipartimento di Matematica Università di Catania 95125 Catania Italy
Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 271-284 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Given a Boolean algebra ${\mathbb B}$ and an embedding $e:{\mathbb B}\to {\cal P} ({\mathbb N})/{\rm fin}$ we consider the possibility of extending each or some automorphism of ${\mathbb B}$ to the whole $ {\cal P}({\mathbb N})/{\rm fin}$. Among other things, we show, assuming ${\rm CH}$, that for a wide class of Boolean algebras there are embeddings for which no non-trivial automorphism can be extended.
DOI : 10.4064/fm174-3-7
Keywords: given boolean algebra mathbb embedding mathbb cal mathbb fin consider possibility extending each automorphism mathbb whole cal mathbb fin among other things assuming wide class boolean algebras there embeddings which non trivial automorphism extended

A. Bella  1   ; A. Dow  2   ; K. P. Hart  3   ; M. Hrusak  4   ; J. van Mill  4   ; P. Ursino  5

1 Dipartimento di Matematica Università di Catania 95125 Catania, Italy
2 Mathematics Department UNC Charlotte 9201 University City Blvd. Charlotte, NC 28223, U.S.A.
3 Faculty of Information Technology and Systems TU Delft Postbus 5031 2600 GA Delft, The Netherlands
4 Division of Mathematics Faculty of Sciences Vrije Universiteit De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands
5 Dipartimento di Matematica Università di Catania 95125 Catania Italy 
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     title = {Embeddings into ${\cal P}({\Bbb N})/{\rm fin}$ and extension of automorphisms},
     journal = {Fundamenta Mathematicae},
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A. Bella; A. Dow; K. P. Hart; M. Hrusak; J. van Mill; P. Ursino. Embeddings into ${\cal P}({\Bbb N})/{\rm fin}$ and extension of automorphisms. Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 271-284. doi: 10.4064/fm174-3-7

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