lethe

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Name	lethe
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An graduate student in University of Utah.

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$V$, $W$ are varieties. Does $V\times \mathbf{P}^1=W\times \mathbf{P}^1$ imply $V=W$?

ag.algebraic-geometry

oct 15 11 at 23:30 Francesco Polizzi 18.9k●2●34●55

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How does all of the bundles over a certain manifold characterize the homotopy class of the base manifold?

differential-topology at.algebraic-topology

apr 21 11 at 7:36 Oscar Randal-Williams 5,155●1●12●26

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360

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Can a smooth, immersed loop in R^2 become not nullhomotopic by removing a point?

dg.differential-geometry homotopy-theory differential-topology

mar 12 11 at 10:33 Bruno Martelli 4,732●1●12●33

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546

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Can we deduce that two rings R1 and R2 are isomorphic if their polynomial ring is iso.?

ra.rings-and-algebras

dec 8 10 at 14:11 Steven Landsburg 8,634●1●27●47

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Contractible noncompact 3-manifold without boundary not homeomorphic to $\Bbb R^3$

differential-topology reference-request

nov 25 11 at 1:18 lethe 448●3●8

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Questions

$V$, $W$ are varieties. Does $V\times \mathbf{P}^1=W\times \mathbf{P}^1$ imply $V=W$?

How does all of the bundles over a certain manifold characterize the homotopy class of the base manifold?

Can a smooth, immersed loop in R^2 become not nullhomotopic by removing a point?

Can we deduce that two rings R1 and R2 are isomorphic if their polynomial ring is iso.?

Contractible noncompact 3-manifold without boundary not homeomorphic to $\Bbb R^3$

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