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OpenStreetMap ( OSM) is a free, open geographic database updated and maintained by a community of volunteers via open collaboration. Contributors collect data from surveys, trace from aerial imagery and also import from other freely licensed geodata sources. OpenStreetMap is freely licensed under the Open Database License and as a result ...
Open and closed maps. In mathematics, more specifically in topology, an open map is a function between two topological spaces that maps open sets to open sets. [1] [2] [3] That is, a function is open if for any open set in the image is open in Likewise, a closed map is a function that maps closed sets to closed sets.
Optional. Launched. February 6, 1996; 28 years ago. ( 1996-02-06) Current status. Active. MapQuest (stylized as mapquest) is an American free online web mapping service. It was launched in 1996 as the first commercial web mapping service. [1] MapQuest vies for market share with competitors such as Google Maps and Here.
Comparison of free off-line satellite navigation software. This article contains a list with gratis (but not necessarily open source) satellite navigation (or "GPS") software for a range of devices (PC, laptop, tablet PC, mobile phone, handheld PC (Pocket PC, Palm)). Some of the free software mentioned here does not have detailed maps (or maps ...
The Open Location Code ( OLC) is a geocode based in a system of regular grids for identifying an area anywhere on the Earth. [1] It was developed at Google's Zürich engineering office, [2] and released late October 2014. [3] Location codes created by the OLC system are referred to as " plus codes ".
Properties. Every continuous map from a compact space to a Hausdorff space is both proper and closed. Every surjective proper map is a compact covering map. A map. f : X → Y {\displaystyle f:X\to Y} is called a compact covering if for every compact subset. K ⊆ Y {\displaystyle K\subseteq Y} there exists some compact subset.
In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem [1] (named after Stefan Banach and Juliusz Schauder ), is a fundamental result that states that if a bounded or continuous linear operator between Banach spaces is surjective then it is an open map .
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