BEGIN:VCALENDAR VERSION:2.0 PRODID:-//KnowAFest//Campus Events//EN BEGIN:VEVENT UID:eventsphere-43469@www.knowafest.com DTSTAMP:20261008T164532Z DTSTART:20150218T183000Z DTEND:20150220T182959Z SUMMARY:National Seminar on Recent Trends in Topology LOCATION:Kongu Engineering College\, Erode DESCRIPTION:

Topology is an area of Mathematics concerned with the proper ties of space that are preserved under continuous deformations including s tretching and bending\, but not tearing.
\nBy the middle of the 20th century\, topology had become a major branch of mathematics.
\nTopolo gy as a branch of Mathematics can be formally defined as the study of qual itative properties of certain objects that are invariant under a certain k ind of transformation especially those properties that are invariant under a certain kind of equivalence and it is the study of those properties of geometric configurations which remain invariant when these configurations are subjected to one-to-one bicontinuous transformations or homeomorphisms . Topology operates with more general concepts than analysis.Differential properties of a given transformation are nonessential for topology but bic ontinuity is essential. As a consequence\, topology is often suitable for the solution of problems to which analysis cannot give the answer.
\n Topology is used in several areas such as quantum field theory\, image pro cessing\, molecular biology and cosmology and can also be used to describe the overall shape of the universe. The various possible positions of a ro bot can be described by a manifold called configuration space. In the area of motion planning\, one finds paths between two points in configuration space.
\nThe overall objective of this seminar is to provide a forum to discuss and promote the research in topology.

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