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Pregled bibliografske jedinice broj: 811165

The Core Ingram Conjecture for non-recurrent critical points


Anušić, Ana; Bruin, Henk; Činč, Jernej
The Core Ingram Conjecture for non-recurrent critical points // Fundamenta mathematicae, 241 (2018), 3; 209-235 doi:10.4064/fm199-7-2017 (međunarodna recenzija, članak, znanstveni)


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Naslov
The Core Ingram Conjecture for non-recurrent critical points

Autori
Anušić, Ana ; Bruin, Henk ; Činč, Jernej

Izvornik
Fundamenta mathematicae (0016-2736) 241 (2018), 3; 209-235

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
tent map ; inverse limit space ; Ingram conjecture

Sažetak
We study inverse limit spaces of tent maps, and the Ingram Conjecture, which states that the inverse limit spaces of tent maps with different slopes are non-homeomorphic. When the tent map is restricted to its core, so there is no ray compactifying on the inverse limit space, this result is referred to as the Core Ingram Conjecture. We prove the Core Ingram Conjecture when the critical point is non-recurrent and not preperiodic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( POIROT)

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ana Anušić (autor)

Citiraj ovu publikaciju:

Anušić, Ana; Bruin, Henk; Činč, Jernej
The Core Ingram Conjecture for non-recurrent critical points // Fundamenta mathematicae, 241 (2018), 3; 209-235 doi:10.4064/fm199-7-2017 (međunarodna recenzija, članak, znanstveni)
Anušić, A., Bruin, H. & Činč, J. (2018) The Core Ingram Conjecture for non-recurrent critical points. Fundamenta mathematicae, 241 (3), 209-235 doi:10.4064/fm199-7-2017.
@article{article, author = {Anu\v{s}i\'{c}, Ana and Bruin, Henk and \v{C}in\v{c}, Jernej}, year = {2018}, pages = {209-235}, DOI = {10.4064/fm199-7-2017}, keywords = {tent map, inverse limit space, Ingram conjecture}, journal = {Fundamenta mathematicae}, doi = {10.4064/fm199-7-2017}, volume = {241}, number = {3}, issn = {0016-2736}, title = {The Core Ingram Conjecture for non-recurrent critical points}, keyword = {tent map, inverse limit space, Ingram conjecture} }
@article{article, author = {Anu\v{s}i\'{c}, Ana and Bruin, Henk and \v{C}in\v{c}, Jernej}, year = {2018}, pages = {209-235}, DOI = {10.4064/fm199-7-2017}, keywords = {tent map, inverse limit space, Ingram conjecture}, journal = {Fundamenta mathematicae}, doi = {10.4064/fm199-7-2017}, volume = {241}, number = {3}, issn = {0016-2736}, title = {The Core Ingram Conjecture for non-recurrent critical points}, keyword = {tent map, inverse limit space, Ingram conjecture} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Citati:





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