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$A_n \subset (X, \tau)$ whit $A_{n+1} \subset A_n$ y $\cap \overline{A_n}=\emptyset$ then $\{A_n\}_{n \in \mathbb{N}} $ is locally finite

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#general-topology #differential-topology #geometric-topology
90
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Topology | Understanding terminology

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#general-topology #terminology #geometric-topology #network
46
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Proving a subset is a submanifold

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#manifolds #geometric-topology
244
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Topological rigidity of some non-compact surfaces

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#algebraic-topology #manifolds #differential-topology #homotopy-theory #geometric-topology
672
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Smooth surjective map from torus to sphere

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#differential-topology #geometric-topology
143
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Construct a generic unorientable surfaces of genus $g$

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#differential-geometry #differential-topology #riemann-surfaces #geometric-topology #non-orientable-surfaces
81
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How to write the second Stiefel-Whitney class $w_2(TM)$ as an explicit cochain?

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#differential-geometry #algebraic-topology #differential-topology #geometric-topology #characteristic-classes
41
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How to visually think about the difference $dw_1 - dw_2$ between two 2-forms?

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#general-topology #differential-geometry #differential-topology #geometric-topology #visualization
166
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Explicit triangulation of a genus 3 surface $X^4+Y^4+Z^4=0$

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#riemann-surfaces #geometric-topology #triangulation
70
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Bijective simplicial mapping which is not homeomorphism

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#general-topology #geometric-topology
592
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Notion of degree of a map from an orientable manifold to non-orientable manifold

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#algebraic-topology #manifolds #differential-topology #geometric-topology #orientation
45
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Bordism between singular spheres and singular tori

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#algebraic-topology #geometric-topology
67
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Assigning a "canonical geometry" to a Seifert surface

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#general-topology #smooth-manifolds #geometric-topology #knot-theory #low-dimensional-topology
102
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Are topological 1-manifolds embedded in 2-manifolds always locally flat?

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#general-topology #manifolds #geometric-topology #low-dimensional-topology
52
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Searching a contraexample

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#general-topology #geometric-topology #product-space

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