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Does a closed surface in the 3-sphere bound a handlebody?

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#geometric-topology #low-dimensional-topology
152
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Isotopic tori in $\mathbb{R}^4$

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#differential-geometry #geometric-topology #knot-theory #low-dimensional-topology
2.2k
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A "double" Möbius Strip

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#algebraic-topology #equivalence-relations #quotient-spaces #knot-theory #low-dimensional-topology
142
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Are enclosed 4D shapes really enclosed?

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#geometry #euclidean-geometry #low-dimensional-topology
657
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Why does $\mathbb{RP}^2$ not continuously embed in $\mathbb{R}^3$?

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#general-topology #algebraic-topology #low-dimensional-topology
42
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Continuous functions from $(X,d)$ to $(\mathbb{R},\mid\cdot\mid)$, open set

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#general-topology #analysis #low-dimensional-topology
71
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About a sub-manifold of $S^3$ whose boundary only consists of tori

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#manifolds #low-dimensional-topology #compact-manifolds
146
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Explicit immersion of $RP^3$ in $R^4$

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#low-dimensional-topology
76
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Average property for the Fox n-coloring (knot theory)

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#general-topology #geometric-topology #coloring #knot-theory #low-dimensional-topology
40
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Given a $3$-manifold $M$, is $M\# S^3$ homeomorphic to $M$?

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#manifolds #low-dimensional-topology
285
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Classification of links with unknot components

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#knot-theory #low-dimensional-topology #knot-invariants
43
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A factorization result for links

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#algebraic-topology #knot-theory #low-dimensional-topology #knot-invariants
377
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Mapping Class Group of Pants with a Hole

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#geometric-topology #geometric-group-theory #low-dimensional-topology #mapping-class-group
216
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Units of triangulation in general 3-manifold

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#geometric-topology #low-dimensional-topology
753
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Knot group is $\mathbb{Z}$ iff $K$ is the unknot

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#algebraic-topology #fundamental-groups #knot-theory #low-dimensional-topology #knot-invariants

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