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math.GT2015★ 5 cited
A Non-classification Result for Wild Knots
Vadim Kulikov
Using methods of descriptive theory it is shown that the classification problem for wild knots is strictly harder than that for countable structures.
math.GT2014
Classification and Non-classification of Homeomorphism Relations
Vadim Kulikov
The paper deals with the program of determining the complexity of various homeomorphism relations. The homeomorphism relation on compact Polish spaces is known to be reducible to a…