Some questions related to hyperspaces
ContentsIntroduction............................................................................................................................................................................... 3§ 1. Historical development of the concept of a geometric object..................................................................................4§ 2. Manifold, coordinate system, transformations of the coordinate system............................................................. 7§ 3. Group, pseudogroup,...
CONTENTS Introduction.............................................................................3 I. Linear dependence and independence of functions............7 II. Bank of a function.............................................................15 III. Nomographic functions ....................................................34 IV. Two fundamental theorems..............................................45 V. Scheme...
CONTENTSPART IIntroduction............................................................................................... 31. General solution.................................................................................. 42. Preliminaries and notation................................................................ 53. solutions in *................................................ 74. Change of variables........................................................................... 135. Continuous...
CONTENTS§ 1. Introduction.......................................................................................................................................... 5§ 2. Definitions and lemmas................................................................................................................... 7§ 3. Theorem on the isomorphism of subdirect sums with the same kernels............................. 15§ 4. The group of automorphisms of a torsion-free abelian group of rank two................................
TABLE DES MATIÈRESIntroduction.................................................................................................................................................................................................... 5I. Relation impartible.................................................................................................................................................................................... 6 I-1. Définition.......................................................................................................................................................................................
CONTENTS0. Introduction............................................................................................................... 31. Preliminaries............................................................................................................ 32. Cosine operator functions..................................................................................... 63. Generation of cosine operator functions............................................................ 234. Cosine operator...
The paper contains a revised, and extended by new results, part of the author's PhD thesis. The main objects that we study are toric varieties naturally associated to special Markov processes on trees. Such Markov processes can be defined by a tree T and a group G. They are called group-based models. The main, but not unique, motivation to consider these processes comes from phylogenetics. We study the geometry, defining equations and combinatorial description of the associated toric varieties....
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