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pro vyhledávání: '"Laurence Boxer"'
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 25, Iss 2, Pp 457-473 (2024)
This paper continues a series in which we study deficiencies in previously published works concerning fixed point assertions for digital images.
Externí odkaz:
https://doaj.org/article/54ea0680a41f49f0bffd488b0e0c1869
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 25, Iss 1, Pp 97-115 (2024)
This paper continues a series discussing flaws in published assertions concerning fixed points in digital images.
Externí odkaz:
https://doaj.org/article/4d94c22bc2e84608bc1d317ddfce2055
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 24, Iss 2, Pp 281-305 (2023)
This paper continues a series discussing flaws in published assertions concerning fixed points in digital metric spaces.
Externí odkaz:
https://doaj.org/article/ce3db201bf1849b9b9c73bafc46006ac
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 23, Iss 2, Pp 437-451 (2022)
As in [6, 3, 4, 5], we discuss published assertions concerning fixed points in “digital metric spaces” - assertions that are incorrect or incorrectly proven, or reduce to triviality.
Externí odkaz:
https://doaj.org/article/02686c9b242d45c3b5b5d5158727ed0b
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 23, Iss 1, Pp 69-77 (2022)
Two objects may be close in the Hausdorff metric, yet have very different geometric and topological properties. We examine other methods of comparing digital images such that objects close in each of these measures have some similar geometric or topo
Externí odkaz:
https://doaj.org/article/5518bb6492a645a19c6ff6c3cfe1e67b
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 22, Iss 1, Pp 121-137 (2021)
We continue the study of freezing sets in digital topology, introduced in [4]. We show how to find a minimal freezing set for a "thick" convex disk X in the digital plane Z^2. We give examples showing the significance of the assumption that X is conv
Externí odkaz:
https://doaj.org/article/ecd8da7e00d54e219dca7bb3bbc81997
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 21, Iss 2, Pp 265-284 (2020)
We continue the work of [4, 2, 3], in which we discuss published assertions that are incorrect or incorrectly proven; that are severely limited or reduce to triviality; or that we improve upon.
Externí odkaz:
https://doaj.org/article/116be8a5fcf543b8a62f9908b89396a1
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 21, Iss 1, Pp 111-133 (2020)
We continue the work of [10], studying properties of digital images determined by fixed point invariants. We introduce pointed versions of invariants that were introduced in [10]. We introduce freezing sets and cold sets to show how the existence of
Externí odkaz:
https://doaj.org/article/f8da7210ba424dcd9a3578670c71e3ae
Publikováno v:
Applied General Topology, Vol 21, Iss 1, Pp 87-110 (2020)
In this paper, we examine some properties of the fixed point set of a digitally continuous function. The digital setting requires new methods that are not analogous to those of classical topological fixed point theory, and we obtain results that ofte
Externí odkaz:
https://doaj.org/article/da9558218b0f453981b5d94139e71bb4
Autor:
Laurence Boxer
Publikováno v:
Applied General Topology, Vol 20, Iss 2, Pp 349-361 (2019)
We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely limited or redu
Externí odkaz:
https://doaj.org/article/feabde175f184cd8b30914229516f6fe