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Fixed points of $S^2\times S^2$ and $S^2\times S^2\times S^2$.

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#algebraic-topology #geometric-topology
31
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$X$ with a line(intersecting on one point) may not be homotopic equivalent to $X$?

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#general-topology #geometric-topology
260
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infinite covering of a compact surface corresponding to a handlebody subgroup

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#reference-request #algebraic-topology #surfaces #geometric-topology #covering-spaces
152
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How to find $4$-tuple parametric representation of Möbius strip?

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#general-topology #parametric #geometric-topology
165
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How to construct the "lobed Hopf tori"?

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#geometry #geometric-topology #hopf-fibration
279
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Continuity of a function from a one-point compactification to a cone

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#general-topology #geometry #compactness #geometric-topology #quotient-spaces
76
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Discrete approximations of Riemannian manifolds and topological complexity

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#metric-spaces #geometric-topology #discrete-geometry
119
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Isotopy classes of maps from the $3$-sphere to the $6$-sphere

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#reference-request #algebraic-topology #geometric-topology
74
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foliation with many tangencies

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#complex-geometry #geometric-topology #holomorphic-functions #complex-manifolds #foliations
63
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Lifting Heegaard splittings to the universal cover

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#algebraic-topology #manifolds #geometric-topology
124
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Equivalance of surjections from a surface group to a free group

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#group-theory #geometric-topology #combinatorial-group-theory
94
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Identifying boundaries of handlebodies to get 3-manifolds

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#manifolds #geometric-topology #low-dimensional-topology
124
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Handle attachment and spin$^c$ structures

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#geometric-topology #spin-geometry #cobordism
48
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Under what conditions is a curve in $\mathbb{R}^2$ that assymptotes to a straight line a closed set?

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#general-topology #analysis #geometric-topology
100
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What would be the necessary background knowledge for understanding Poincaré's Conjecture

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#soft-question #geometric-topology

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