Alternate Proofs for the n-dimensional Resolution Theorems (CROSBI ID 299783)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Rubin, Leonard R. ; Tonić, Vera
engleski
Alternate Proofs for the n-dimensional Resolution Theorems
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.
Absolute co-extensor ; Absolute neighborhood retract ; Cell-like ; Cohomological dimension ; Compactum ; CW-complex ; Dimension ; Eilenberg-MacLane CW-complex ; G-acyclic ; Inverse sequence
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Podaci o izdanju
305
2022.
107883
22
objavljeno
0166-8641
0166-8641
10.1016/j.topol.2021.107883