Članek je posvečen klasičnemu problemu vozlanja: za dano mnogoterost ▫$N$▫ in naravno število ▫$m$▫ opišite množico izotopnih razredov vložitev ▫$N\to S^m$▫. Posvetimo se posebnemu primeru zavozlanih ...torusov, to je vložitvam ▫$S^p \times S^q \to S^m$▫. Klasifikacijo zavozlanih torusov do izotopije so v metastabilnem območju ▫$m \geq p + \frac{3}{2}q + 2$▫, ▫$p \leq q$▫ podali A. Haefliger, E. Zeeman in A.B. Skopenkov. Tu obravnavamo dimenzije pod metastabilim območjem in najdemo eksplicitni kriterij za končnost množice izotopnih razredov v 2-metastabilnih dimenzijah: Izrek: Predpostavimo ▫$p + \frac{4}{3}q + 2 < m < p + \frac{3}{2}q + 2$▫ in ▫$m > 2p+q + 2$▫. Tedaj je množica izotopnih razredov gladkih vložitev ▫$S^p \times S^q \to S^m$▫ neskončna natanko tedaj, ko je ali ▫$q + 1$▫ ali pa ▫$p + q + 1$▫ deljivo s 4. Naš pristop h klasifikaciji temelji na analogu eksaktnega zaporedja U. Koschorkeja iz teorije spletov. V našem zaporedju nastopa nova ▫$\beta$▫-invarianta zavozlanih torusov. Eksaktnost dokažemo z vložitveno kirurgijo in tehnikami N. Habeggerja in U. Kaiserja.
It was not necessary to add the material to the shelf.
Bibliographic material was successfully added on shelf.
Adding bibliographical material on shelf was not successful.
Material is already on the shelf.
Permalink
URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year
Impact factor
Edition
Category
Classification
JCR
SNIP
JCR
SNIP
JCR
SNIP
JCR
SNIP
Select the library membership card:
DRS,
in which the journal is indexed
Database name
Field
Year
Links to authors' personal bibliographies
Links to information on researchers in the SICRIS system
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
