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Now showing items 1-10 of 45

#### The solvability of PVI equation and second-order second-degree Painleve type equations

(Bilkent University, 1998)

A rigorous method was introduced by Fokas and Zhou for studying the
Riernaiin-Hilhert problem associated with the Painleve II and IV. The same
methodology has been applied to Painleve I, III and V. In this thesis, we ...

#### The quasi-equivalence problem and isomorphic classification of Whitney spaces

(Bilkent University, 1999)

We proved that the quasi-equivalence property holds in a subclass of the class
of stable nuclear Frechet, Kothe spaces. Also we considered the isomorphic
classification of spaces of Whitney functions on some special ...

#### Essential cohomology and relative cohomology of finite groups

(Bilkent University, 2009)

In this thesis, we study mod-p essential cohomology of finite p-groups. One
of the most important problems on essential cohomology of finite p-groups is
finding a group theoretic characterization of p-groups whose essential ...

#### Gibbs measures and phase transitions in one-dimensional models

(Bilkent University, 2000)

In this thesis we study the problem of limit Gibbs measures in one-dimensional
models. VVe investigate uniqueness conditions for the limit Gibbs measures for
one-dimensional models. VVe construct a one-dimensional model ...

#### Monoid actions, their categorification and applications

(Bilkent University, 2017-01)

We study actions of monoids and monoidal categories, and their relations with (co)homology theories. We start by discussing actions of monoids via bi-actions. We show that there is a well-defined functorial reverse action ...

#### KO-rings and J-groups of lens spaces

(Bilkent University, 1998)

In this thesis, we make the explicit computation of the real A'-theory of lens spaces
and making use of these results and Adams conjecture, we describe their .7-groups
in terms of generators and relations. These computations ...

#### Characteristic lie algebra and classification of semi-discrete models

(Bilkent University, 2009)

In this thesis, we studied a differential-difference equation of the following form
tx(n + 1, x) = f(t(n, x), t(n + 1, x), tx(n, x)), (1)
where the unknown t = t(n, x) is a function of two independent variables: discrete
n ...

#### Concrete sheaves and continuous spaces

(Bilkent University, 2015)

In algebraic topology and differential geometry, most categories lack some good
”convenient” properties like being cartesian closed, having pullbacks, pushouts,
limits, colimits... We will introduce the notion of continuous ...

#### Monodromy groups of real Enriques surfaces

(Bilkent University, 2012-09)

In this thesis, we compute the monodromy groups of real Enriques surfaces.
The principal tools are the deformation classification of such surfaces and a modified
version of Donaldson’s trick, relating real Enriques ...

#### Fusion systems in group representation theory

(Bilkent University, 2013)

Results on the Mackey category MF corresponding to a fusion system F and
fusion systems defined on p-permutation algebras are our main concern.
In the first part, we give a new proof of semisimplicity of MF over C by ...