GENERALIZATION OF THE NOTION OF FUNDAMENTAL GROUP |
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Authors: | Gan Danyan |
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Institution: | Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang 310027, China. |
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Abstract: | The classical definition of fundamental group for a topological space is based on the pathwise connectedness. A space with less path will not be able to be described effectively by its fundamental group. The author introduces a definition of generalized fundamental group for a given topological space by means of its own connectedness. For a well-behaved space, e.g., a locally pathwise and semilocally simply connected compact metric space, the generalized fundamental group coincides with the classical one. |
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Keywords: | |
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