Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Karaca Ismet"'
Autor:
Karaca Ismet, Özkan Mustafa
Publikováno v:
Mathematica Moravica, Vol 27, Iss 1, Pp 1-12 (2023)
In this study, we introduce some well-known definitions and properties for multi-valued functions. We present new definitions such as, m-retraction, m-section, m-homeomorphism, m-HEP and reducible function. We give a new result on the relation betwee
Externí odkaz:
https://doaj.org/article/5e4911fedc9b4d63904a9626be1baa5c
Autor:
İs, Melih, Karaca, İsmet
This work aims to define the concept of manifold, which has a very important place in the topology, on digital images. So, a general perspective is provided for two and three-dimensional imaging studies on digital curves and digital surfaces. Through
Externí odkaz:
http://arxiv.org/abs/2412.12008
Autor:
İs, Melih, Karaca, İsmet
We define digital $m-$homotopic distance and its higher version. We also mention related notions such as $m-$category in the sense of Lusternik-Schnirelmann and $m-$complexity in topological robotics. Later, we examine the homotopy invariance or $m-$
Externí odkaz:
http://arxiv.org/abs/2408.15596
Autor:
İs, Melih, Karaca, İsmet
In this study, we delve into the discrete TC of surjective simplicial fibrations, aiming to unravel the interplay between topological complexity, discrete geometric structures, and computational efficiency. Moreover, we examine the properties of the
Externí odkaz:
http://arxiv.org/abs/2403.05835
Autor:
Is, Melih, Karaca, Ismet
Nearness theory comes into play in homotopy theory because the notion of closeness between points is essential in determining whether two spaces are homotopy equivalent. While nearness theory and homotopy theory have different focuses and tools, they
Externí odkaz:
http://arxiv.org/abs/2306.07558
Autor:
İs, Melih, Karaca, İsmet
In this paper, we transfer the problem of measuring navigational complexity in topological spaces to the nearness theory. We investigate the most important component of this problem, the topological complexity number (denoted by TC), with its differe
Externí odkaz:
http://arxiv.org/abs/2305.13726
Autor:
İs, Melih, Karaca, İsmet
We first study the higher version of the relative topological complexity by using the homotopic distance. We also introduced the generalized version of the relative topological complexity of a topological pair on both the Schwarz genus and the homoto
Externí odkaz:
http://arxiv.org/abs/2203.02494
Autor:
Fişekci, Seher, Karaca, İsmet
We introduce the digital projective product spaces based on Davis' projective product spaces. We determine an upper bound for the digital LS-category of the digital projective product spaces. In addition, we obtain an upper bound for the digital topo
Externí odkaz:
http://arxiv.org/abs/2108.02750
Autor:
Is, Melih, Karaca, Ismet
We introduce the higher topological complexity (TC_{n}) of a fibration in two ways: the higher homotopic distance and the Schwarz genus. Then we have some results on this notion related to TC, TC_{n} or cat of a topological space or a fibration. We a
Externí odkaz:
http://arxiv.org/abs/2107.04465
Autor:
Is, Melih, Karaca, Ismet
In this study, we improve the topological complexity computations on digital images with introducing the digital topological complexity computations of a surjective and digitally continuous map between digital images. We also reveal differences in to
Externí odkaz:
http://arxiv.org/abs/2103.00585