2 problems
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Alesker's intrinsic-volume conjecture for collapsing Alexandrov spaces
Alesker's conjecture. Under these hypotheses, the asserted existence and, in the collapsing case, the stated stratified expression for the limit of each intrinsic volume …
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Petrunin's fiber-bundle conjecture for collapsing Alexandrov spaces
Let a sequence of Alexandrov spaces with curvature bounded below collapse to a limit space. An extremal subset is a distinguished subset of an Alexandrov space preserved by its geo…