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Complex Manifold question

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#general-topology #geometric-topology #topological-vector-spaces #complete-spaces #complex-manifolds
78
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Is any linear transformation between topological vector spaces of finite dimension a closed map?

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#general-topology #functional-analysis #solution-verification #examples-counterexamples #topological-vector-spaces
121
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Is any monomorphism $f:\Bbb R^k\rightarrow\Bbb R^n$ for $k\le n$ a closed map?

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#general-topology #functional-analysis #solution-verification #examples-counterexamples #topological-vector-spaces
59
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Equivalence condition for vector addition and scalar multiplication is continuous

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#functional-analysis #topological-vector-spaces
218
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Uniform Convergence of Cauchy Sequence of Continuous Functions

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#general-topology #functional-analysis #analysis #topological-vector-spaces #complete-spaces
445
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Some intuition about weak topology

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#general-topology #weak-convergence #topological-vector-spaces #weak-topology
31
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Finitely additive measures on Fréchet spaces

Published on
#measure-theory #topological-vector-spaces
223
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The topologies on the space of test functions that set the standard convergence

Published on
#functional-analysis #distribution-theory #topological-vector-spaces
69
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Use of open/closed sets in Kolgomorov's Introductory Real Analysis

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#real-analysis #general-topology #analysis #topological-vector-spaces
137
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Connectedness of convex sets in a topological vector space

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#general-topology #topological-vector-spaces
74
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Intuition behind the inverse image of quotient map in a topological vector space

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#quotient-spaces #topological-vector-spaces
40
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Only boundary points can be support points?

Published on
#real-analysis #topological-vector-spaces
125
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show that $\mathbb{K}[x_1,...,x_n]$ is a subset of $C(\mathbb{K}^n,\mathbb{K})$

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#linear-algebra #abstract-algebra #general-topology #topological-vector-spaces
66
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open/closed ball in the normed space $l_{\infty}$ is open/closed set in the locally convex space $l_{\infty}$

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#functional-analysis #topological-vector-spaces
115
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Can this set be open in a topological vector space?

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#general-topology #functional-analysis #topological-vector-spaces

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