İsmet KARACA

Fen Fakültesi, Matematik Bölümü, Topoloji Anabilim Dalı

Araştırma alanları: Matematik, Temel Bilimler, Cebirsel Topoloji, Bilgisayar Bilimleri, Mühendislik ve Teknoloji, Algoritmalar, Fizik, Genel Fizik, Genel Topoloji, Biyoenformatik

Yayınlar

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

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