Pregled bibliografske jedinice broj: 1152326
Alternate Proofs for the n-dimensional Resolution Theorems
Alternate Proofs for the n-dimensional Resolution Theorems // Topology and its Applications, 305 (2022), 107883, 22 doi:10.1016/j.topol.2021.107883 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1152326 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Alternate Proofs for the n-dimensional Resolution
Theorems
Autori
Rubin, Leonard R. ; Tonić, Vera
Izvornik
Topology and its Applications (0166-8641) 305
(2022);
107883, 22
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Absolute co-extensor ; Absolute neighborhood retract ; Cell-like ; Cohomological dimension ; Compactum ; CW-complex ; Dimension ; Eilenberg-MacLane CW-complex ; G-acyclic ; Inverse sequence
Sažetak
We present new, unified proofs for the cell-like-, Z/p-, and Q-resolution theorems. Our arguments employ extensions that are much simpler than those used by our predecessors. The techniques allow us to solve problems involving cohomology groups by converting them into problems about homology groups. We provide a coordinated general topological method for constructing the maps needed to witness the resolution theorems simultaneously.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
