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Title:
INVERZNE LIMITE Z ENOLIČNIMI IN VEČLIČNIMI VEZNIMI PRESLIKAVAMI
Authors:
ID
Merhar, Matej
(
Author
)
ID
Banič, Iztok
(
Mentor
)
More about this mentor...
Files:
UNI_Merhar_Matej_2009.pdf
(885,34 KB)
MD5: 84F82331C7C417B0B03E637FDE373AE5
PID:
20.500.12556/dkum/dcff88b8-8172-471d-b4ec-094a494d391f
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
V diplomskem delu bomo najprej predstavili osnovne primere kontinuumov. Nato bomo predstavili inverzne limite inverznih zaporedij kompaktnih metričnih prostorov in enoličnih zveznih veznih funkcij ter dokazali njihove osnovne lastnosti. Definirali bomo tudi inverzne limite inverznih zaporedij kompaktnih metričnih prostorov in navzgor polzveznih večličnih veznih funkcij in si ogledali nekatere njihove lastnosti.
Keywords:
Inverzno zaporedje
,
Inverzna limita
,
Navzgor polzvezna funkcija
,
Kontinuum
Place of publishing:
Maribor
Publisher:
[M. Merhar]
Year of publishing:
2009
PID:
20.500.12556/DKUM-10229
UDC:
51(043.2)
COBISS.SI-ID:
16830728
NUK URN:
URN:SI:UM:DK:1L2SBGNI
Publication date in DKUM:
11.05.2009
Views:
3739
Downloads:
354
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
INVERSE LIMITS WITH ONE -VALUED AND MULTI-VALUED BONDING FUNCTIONS
Abstract:
In graduation thesis we first introduce the basic examples of continua. Next we introduce inverse limits of inverse sequences of compact metric spaces and one-valued continuous bonding functions and prove their basic properties. We also define inverse limits of inverse sequences of compact metric spaces and multi-valued upper semi-continuous bonding functions and examine some of their properties.
Keywords:
Inverse sequence
,
Inverse limit
,
Upper semi-continous function
,
Continuum
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