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Title:
GLADKI KONTINUUMI
Authors:
ID
Sovič, Tina
(
Author
)
ID
Banič, Iztok
(
Mentor
)
More about this mentor...
Files:
UNI_Sovic_Tina_2009.pdf
(391,67 KB)
MD5: F3BF3615C99C2410DF7A79734CD3D9E9
PID:
20.500.12556/dkum/aa8dffc8-496e-4c8a-b655-ef52cdfbe12e
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
Najprej se bomo seznanili z definicijo kontinuumov. Ogledali si bomo nekaj osnovnih primerov in lastnosti kontinuumov, kot sta ireducibilnost in dedna unikoherentnost. Sledi vpeljava gladkih kontinuumov, nekaj zgledov in njihova splošnejša definicija. Ogledali si bomo njihovo karakterizacijo in navedli nekaj rezultatov v povezavi z dedno unikoherentnostjo. Ob koncu bomo več pozornosti posvetili še ireducibilnim gladkim kontinuumom.
Keywords:
Kontinuum
,
Gladek kontinuum
,
Dedno unikoherenten kontinuum
,
Ireducibilnost
Place of publishing:
Maribor
Publisher:
[T. Sovič]
Year of publishing:
2009
PID:
20.500.12556/DKUM-10931
UDC:
51(043.2)
COBISS.SI-ID:
16996616
NUK URN:
URN:SI:UM:DK:Y94RQTQE
Publication date in DKUM:
06.07.2009
Views:
2646
Downloads:
228
Metadata:
Categories:
FNM
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Secondary language
Language:
English
Title:
SMOOTH CONTINUA
Abstract:
We first intoduce definition of continua. We show some basic examples and properties of continua, like hereditary unicoherence and irreducibility. Next we introduce smooth continua, give some examples, and then generalize that notion. We examine their characterizations and state some results in connection with hereditary unicoherence. Finally, we take a good look at irreducible smooth continua.
Keywords:
Continuum
,
Smooth continuum
,
Hereditarily unicoherent continuum
,
Irreducibility
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