İsmet KARACA

Fen Fakültesi, Matematik Bölümü, Topoloji Anabilim Dalı

Research areas: Mathematics, Natural Sciences, Algebraic Topology, Computer Sciences, Engineering and Technology, algorithms, Physics, General Physics, General Topology, bioinformatics

Publications

Geometrik Topolojiye Giriş (2026)
Efficient computation of homology groups, betti numbers, and euler characteristics for 2D digital images (2025)
Proximal motion planning algorithms (2025)
Cebirsel Topolojiye Giriş (2024)
Some properties of proximal homotopy theory (2024)
Discrete topological complexities of simplical maps (2024)
Different types of topological complexity based on higher homotopic distance (2023)
A NOTE ON MULTI-VALUED MAPPINGS (2023)
Homotopy extension property for multi-valued functions (2023)
Certain topological methods for computing digital topological complexity (2023)
Topological Properties of Multi-Valued Functions (2022)
Higher Topological Complexity For Fibrations (2022)
Explicit motion planning in digital projective product spaces (2022)
COUNTEREXAMPLES FOR TOPOLOGICAL COMPLEXITY IN DIGITAL IMAGES (2022)
Topological complexities of finite digital images (2022)
Higher topological complexity for fibrations (2022)
Conjectures on the anti-automorphism of Z-basis of the Steenrod algebra (2021)
A PDE-based Mathematical Method in Image Processing: Digital-Discrete Method for Perona-Malik Equation (2021)
Conjectures on the anti-automorphism of Z-basis of the Steenrod algebra (2021)
On Classifications of Multi-valued Functions Using Multi-homotopy (2021)
On The Solutions of The Image Processing Problems Using Total Variational-Based Diffusion and Digital-Discrete Method (2021)
Digital Co-Hopf spaces (2020)
The higher topological complexity in digital images (2020)
Çözümleriyle Topoloji Problemleri (2020)
Teorik ve Uygulama Alanlarıyla Topoloji (2020)
Persistent homology of graph-like digital images (2020)
The digital smash product (2020)
Some results of Morse functions in digital images (2020)
Digital co-Hopf spaces (2020)
The higher topological complexity in digital images (2020)
Cohomological approach to reflexive graphs (2019)
Some new results on the connected sum of certain digital surfaces (2019)
Invariant elements in the dual Steenrod algebra (2019)
Some properties of multivalued functions in digital topology (2019)
Cohomological approach to reflexive graphs (2019)
Invariant elements in the dual Steenrod algebra (2019)
On discrete Morse theory (2018)
Complex valued dislocated metric spaces (2018)
Digital cohomology groups of certain minimal surfaces (2018)
Some New Results on Digital Topological Sum (2018)
Topological Complexity Numbers In Digital Images (2018)
C-Algebra-Valued Gb-Metric Spaces (2018)
A combinatorial Approach to discrete Morse Theory (2018)
A note on the new basis in the mod 2 Steenrod algebra (2018)
The excision theorem for digital Khalimsky spaces (2018)
On A-polynomial of knots (2018)
The excision theorem for digital Khalimsky spaces (2018)
Digital topological complexity numbers (2018)
Note on A-polynomial of Knots (2018)
Anti-automorphism of Z-basis in the mod 2 Steenrod algebra (2018)
Complex valued dislocated metric spaces (2018)
Digital cohomology groups of certain minimal surfaces (2018)
GRAPH TOPOLOGY ON FINITE DIGITAL IMAGES (2018)
The Arnon bases in the Steenrod algebra (2018)
The cohomology structure of digital Khalimsky spapes (2018)
Common fixed point results on complex valued Gb-metric spaces (2018)
A note on the new basis in the mod-2 Steenrod algebra (2018)
Fixed Point Theorems and an Application in Parametric Metric Spaces (2017)
Examples of self-dual codes over the finite sub-Hopf algebra of the Steenrod algebra (2017)
Digital Borsuk Ulam theorem (2017)
Nielsen Fixed Point Theory for Digital Images (2017)
Digital Borsuk-Ulam theorem (2017)
The dimension of digital Khalimsky manifolds (2017)
Some properties of persistent homology groups (2017)
Digital Khalimsky manifold (2017)
Persistent homology group (2017)
On Digital Cohomology Groups (2017)
Some common fixed point theorems on complex valued Gb-metric spaces (2017)
Cohomology structure of digital Khalimsky spaces (2017)
Fixed point theorems and an Application in Parametric Metric Spaces (2017)
Examples of self-dual codes over some sub-Hopf algebras of the Steenrod algebra (2017)
Nilpotency of Atomic Steenrod Squares (2017)
DIGITAL BORSUK-ULAM THEOREM (2017)
Nielsen fixed point theory for digital images (2017)
Digital fixed points approximate fixed points and universal functions (2016)
Some properties of Steenrod squares on digital images (2016)
An Algorithm for Computing Digital Cohomology Groups (2016)
Some results on co Hopf space structure of digital images (2016)
Digital Uniform Spaces (2016)
Fixed point theorems and an Application in Parametric Metric Spaces (2016)
Banach fixed point theorem for digital images (2016)
Some results on digital fibrations (2016)
Self dual codes and the Steenrod algebra (2016)
Some properties of digital persistent homology groups (2016)
Homology groups of certain Khalimsky digital spaces (2016)
Some properties of digital H-spaces (2016)
To compute topological complexity numbers using Steenrod squares (2016)
Digital uniform spaces (2016)
Digital Fibrations (2016)
Some properties of Steenrod squares on digital images (2016)
Digital fixed points, approximate fixed points, and universal functions (2016)
An algorithm for computing digital cohomology groups (2016)
Banach fixed point theorem in digital images (2015)
Digital homotopy fixed point theory (2015)
Complex valued dislocated metric spaces and an application to differential equations (2015)
Digital Homotopy Fixed Point Theory (2015)
Fixed Point Results and Application in Parametric Metric Spaces (2015)
On reduced homology groups of Khalimsky spaces (2015)
Simplicial homology ring of a connected sum of minimal simple closed surfaces (2015)
Complex valued dislocated metric spaces and application to differential equations (2015)