Proceedings of 3rd International Conference on Multimedia Technology(ICMT-13)

Topology structures of the families of gray images

Authors
Wu N.
Corresponding Author
Wu N.
Available Online November 2013.
DOI
https://doi.org/10.2991/icmt-13.2013.3How to use a DOI?
Keywords
Upper semi-continuous maps. Continuous maps. Vietoris topology. Regions below of maps. Hilbert cube.
Abstract
Let L be a subspace of Euclidean Space E1. USC(X,L) denote all regions below of upper semi-continuous maps from X to L and C(X,L) denote all regions below of continuous maps from X to L. For an infinite compact metric space X, USC(X,I) with Vietoris topology is homeomorphic to Hilbert cube Q and C(X,I) is its subspace, where Q=[-1, 1] . USC(X, I) could be regarded as a mathematical model of all gray images. In the present paper, the following result is proved: USC(X, [0,1)) is homeomorphic to Q{(0)}. Therefore the topological structure of C(X, [0,1)) is also clear.
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Proceedings
3rd International Conference on Multimedia Technology(ICMT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
November 2013
ISBN
978-90-78677-89-5
ISSN
1951-6851
DOI
https://doi.org/10.2991/icmt-13.2013.3How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Wu N.
PY  - 2013/11
DA  - 2013/11
TI  - Topology structures of the families of gray images
BT  - 3rd International Conference on Multimedia Technology(ICMT-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/icmt-13.2013.3
DO  - https://doi.org/10.2991/icmt-13.2013.3
ID  - N.2013/11
ER  -