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15
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Expanding a compact subset of $\mathbb R^n$

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#general-topology #compactness
65
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why does a closed subset of a top. n-manifoldis not again a top. n-manifold?

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#general-topology #manifolds
550
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Compute fundamental group _visually_ by the polygonal representation of the space

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#general-topology #algebraic-topology #fundamental-groups #visualization
40
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is it possible to make contractions set a metric space?

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#general-topology
358
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Closed sets with filters

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#general-topology #metric-spaces #topological-vector-spaces #filters
357
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If $A$ and $B$ are homeomorphic proper closed subsets of $\mathbb{R}^n$, do their complements have the same homology?

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#general-topology #algebraic-topology #homology-cohomology #homological-algebra #de-rham-cohomology
64
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Describe closure and interior of subspace $A$ of $X \times B$ in terms of interior and closure of his projection in $X$

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#general-topology
122
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some confusion about singleton set?

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#real-analysis #general-topology #metric-spaces
78
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General topology on Kolmogorov spaces

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#general-topology
635
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Fundamental group of torus knot without thickening

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#general-topology #algebraic-topology #fundamental-groups #knot-theory
593
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A compact subset of a metric space is always closed

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#general-topology #metric-spaces #compactness
153
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Show that $\dim_{H}(A) = \dim_{H}(\Phi(A))$ for diffeomorphism $\Phi$

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#calculus #general-topology #hausdorff-measure
152
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Find a set of limit point of $A=\{ \frac{1}{m}+\frac{1}{n} : m,n \in \Bbb{N} \}$ in $\Bbb{R}$ by using the following way.

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#general-topology
282
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Strangely but closely related parametrized curves

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#general-topology #geometry #number-theory #curves #visualization
423
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Is the support of a smooth function always open?

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#general-topology #functions

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