Generalised Metric
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the concept of a generalised metric is a generalisation of that of a metric, in which the distance is not a real number but taken from an arbitrary ordered field. In general, when we define metric space the distance function is taken to be a real-valued function. The real numbers form an ordered field which is Archimedean and order complete. So, the metric spaces have some nice properties like: in a metric space compactness, sequential compactness and countable compactness are equivalent etc etc.…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the concept of a generalised metric is a generalisation of that of a metric, in which the distance is not a real number but taken from an arbitrary ordered field. In general, when we define metric space the distance function is taken to be a real-valued function. The real numbers form an ordered field which is Archimedean and order complete. So, the metric spaces have some nice properties like: in a metric space compactness, sequential compactness and countable compactness are equivalent etc etc.