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Results tagged with cv.complex-variables
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user 4354
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
10
votes
Accepted
Triangles, squares, and discontinuous complex functions
With interior: yes. Fix a sequence of squares $Q_1\subset Q_2\subset\dots$ whose union is the entire plane. Then arrange a map $g:\mathbb R\to\mathbb R^2$ such that, for every nontrivial segment $[a,b …
- 32.4k
9
votes
Accepted
Do proper polynomial mappings have a path-lifting property?
The answer is yes, here is a proof.
Let $k=2n$. The polynomial, regarded as a map $f:\mathbb R^k\to\mathbb R^k$, has the following properties:
(1) The pre-image of every point if finite, moreover th …
- 32.4k