The activities of the professionals working on cartographic products have been highlighted especially in recent years. The history, the concepts and categories of cartography cannot be neglected in using this type of ...The activities of the professionals working on cartographic products have been highlighted especially in recent years. The history, the concepts and categories of cartography cannot be neglected in using this type of tool since the use of elements that make a cartographic product, as an example: map, chart, plan, globe, and a scale model should be used since the unawareness of techniques of cartography and the absence of the components of a map may hinder the understanding of what is intended to represent cartographically. This text is a contribution to the discussion of advances in cartography including errors and absence of maps, including a brief discussion of the characteristics of cartographic language nowadays and the search for perfection in cartography.展开更多
The topological study of connectedness is heavily geometric or visual. Connectedness and connectedness-like properties play an important role in most topological characterization theorems, as well as in the study of o...The topological study of connectedness is heavily geometric or visual. Connectedness and connectedness-like properties play an important role in most topological characterization theorems, as well as in the study of obstructions to the extension of functions. In this paper, the behaviour of these properties in the realm of closure spaces is investigated using the class of perfect mappings. A perfect mapping is a type of map under which the image generally inherits the properties of the mapped space. It turns out that the general behaviour of connectedness properties in topological spaces extends to the class of isotone space.展开更多
Perfect mapping is one of the important notions in topology. It is a noticeable topic to define a proper concept of L-fuzzy perfect mappings. Azad and Chen Bisheng introduced the concepts of fuzzy mappings for the cas...Perfect mapping is one of the important notions in topology. It is a noticeable topic to define a proper concept of L-fuzzy perfect mappings. Azad and Chen Bisheng introduced the concepts of fuzzy mappings for the case L=[0, 1], respectively. However, each of展开更多
基金funded by the Qualified Publication Support Program(PAPQ)offered by the Dean of Research and Graduate Studies(PROPESP)the Foundation for the Support and Development of Research(FADESP),of the Federal University of Para.
文摘The activities of the professionals working on cartographic products have been highlighted especially in recent years. The history, the concepts and categories of cartography cannot be neglected in using this type of tool since the use of elements that make a cartographic product, as an example: map, chart, plan, globe, and a scale model should be used since the unawareness of techniques of cartography and the absence of the components of a map may hinder the understanding of what is intended to represent cartographically. This text is a contribution to the discussion of advances in cartography including errors and absence of maps, including a brief discussion of the characteristics of cartographic language nowadays and the search for perfection in cartography.
文摘The topological study of connectedness is heavily geometric or visual. Connectedness and connectedness-like properties play an important role in most topological characterization theorems, as well as in the study of obstructions to the extension of functions. In this paper, the behaviour of these properties in the realm of closure spaces is investigated using the class of perfect mappings. A perfect mapping is a type of map under which the image generally inherits the properties of the mapped space. It turns out that the general behaviour of connectedness properties in topological spaces extends to the class of isotone space.
基金Project supported partly by the National Natural Science Foundation of China
文摘Perfect mapping is one of the important notions in topology. It is a noticeable topic to define a proper concept of L-fuzzy perfect mappings. Azad and Chen Bisheng introduced the concepts of fuzzy mappings for the case L=[0, 1], respectively. However, each of