Zobrazeno 1 - 10
of 313
pro vyhledávání: '"Semmes, Stephen"'
Autor:
Semmes, Stephen
Some basic geometric properties related to connectedness and topological dimension 0 are discussed, especially in connection with the ultrametric version of the triangle inequality.
Comment: 68 pages
Comment: 68 pages
Externí odkaz:
http://arxiv.org/abs/1510.03410
Autor:
Semmes, Stephen
Here we look at (collections of) semimetrics and seminorms, including their ultrametric versions. In particular, we are concerned with geometric properties related to connectedness and topological dimension 0.
Comment: 97 pages
Comment: 97 pages
Externí odkaz:
http://arxiv.org/abs/1506.07390
Autor:
Semmes, Stephen
Here we look at some geometric properties related to connectedness and topological dimension 0, especially in connection with norms on vector spaces over fields with absolute value functions, which may be non-archimedian.
Comment: 61 pages
Comment: 61 pages
Externí odkaz:
http://arxiv.org/abs/1503.02071
Autor:
Semmes, Stephen
Some aspects of analysis involving fields with absolute value functions are discussed, which includes the real or complex numbers with their standard absolute values, as well as ultrametric situations like the p-adic numbers.
Comment: 136 pages,
Comment: 136 pages,
Externí odkaz:
http://arxiv.org/abs/1502.04607
Autor:
Semmes, Stephen
A field with an absolute value function is a basic type of metric space, which includes the real and complex numbers with their standard metrics, and ultrametrics on fields like the p-adic numbers. Here we try to give some perspectives of analysis in
Externí odkaz:
http://arxiv.org/abs/1403.7417
Autor:
Semmes, Stephen
Here we look at some situations that are like the unit circle or the real line in some ways, but which can be more complicated or fractal in other ways.
Comment: 146 pages, including a one-page index
Comment: 146 pages, including a one-page index
Externí odkaz:
http://arxiv.org/abs/1311.6710
Autor:
Semmes, Stephen
A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.
Comment: 104 pages, including a one-page index
Comment: 104 pages, including a one-page index
Externí odkaz:
http://arxiv.org/abs/1306.2421
Autor:
Semmes, Stephen
It is well known that n x n upper-triangular real matrices with 1's on the diagonal form a nilpotent Lie group with an interesting family of non-isotropic dilations and corresponding geometry, as in [9]. Here we look at p-adic versions of this, and r
Externí odkaz:
http://arxiv.org/abs/1211.6985
Autor:
Semmes, Stephen
A basic class of constructions is considered, in connection with bilipschitz mappings in particular.
Comment: 20 pages
Comment: 20 pages
Externí odkaz:
http://arxiv.org/abs/1210.4788
Autor:
Semmes, Stephen
A class of solenoids is considered, including some aspects in n (topological) dimensions, where one basically gets some fractal versions of tori.
Comment: 17 pages
Comment: 17 pages
Externí odkaz:
http://arxiv.org/abs/1210.0145