From the 1 of 6 linked papers with an AI index.
6 papers
Genus-zero links with prescribed knots as components
Raphael Appenzeller, José Pedro Quintanilha
The authors prove that any finite collection of at least three knot isotopy classes in a 3‑manifold can be realized as the components of a genus‑zero link, provided a natural condi…
All knots are trivial: a "proof" by sleight of hand
Raphael Appenzeller, José Pedro Quintanilha, José Pedro Quintanilha
We take a close look at a classical magic trick performed with a string, where a trivial knot is seemingly isotoped into a trefoil, and generalize it to a family of magic tricks fo…
Flat subsets of Euclidean buildings
Raphael Appenzeller, Auguste Hébert, Alexander Lytchak
We prove that any convex flat subset in a complete Euclidean building is contained in an apartment of the maximal system of apartments.
Semisimple algebraic groups over real closed fields
Raphael Appenzeller
We give a self-contained introduction to linear algebraic and semialgebraic groups over real closed fields, and we generalize several key results about semisimple Lie groups to alg…
Generalized affine buildings for semisimple algebraic groups over real closed fields
Raphael Appenzeller
We use real algebraic geometry to construct an affine -building associated to the -points of a semisimple algebraic group, where is a valued real c…
Cops and robbers for hyperbolic and virtually free groups
Raphael Appenzeller, Kevin Klinge
Lee, MartÃnez-Pedroza and RodrÃguez-Quinche define two new group invariants, the strong cop number and the weak cop number , by examini…