Any 3-manifold 1-dominates at most finitely many 3-manifolds of $S^3$-geometry

Any 3-manifold 1-dominates at Most Finitely Many 3-manifolds of S-geometry

Any 3-manifold 1-dominates at most finitely many 3-manifolds supporting S3 geometry.

3-manifolds Having Complexity at Most 9

3-manifolds Having Complexity at Most 9 Introduction

Contents 1 Complexity theory and an overview of the algorithm 3 1. 2 Surfaces and transverse surfaces in a spine 15 2.

3-manifolds with Heegaard Genus at Most Two

Acknowledgements My foremost thanks are to my supervisor Roman Nedela, for his continual encouragement, support and patience, for many inspirational conversations, leading me in the times of hasitations and careful reading many versions of the draft. Thanks also to Peter Maličk´y for the effort with some computations with groups and many advices in topology. Thanks also to Mathematical Institut...

On Finitely Generated Models of Theories with at Most Countably Many Nonisomorphic Finitely Generated Models

We study finitely generated models of countable theories, having at most countably many nonisomorphic finitely generated models. We introduce a notion of rank of finitely generated models and we prove, when T has at most countably many nonisomorphic finitely generated models, that every finitely generated model has an ordinal rank. This rank is used to give a property of finitely generated mode...