Notes on the Distributed Computation of Merge Trees on CW-Complexes

Author(s):  
Aaditya G. Landge ◽  
Peer-Timo Bremer ◽  
Attila Gyulassy ◽  
Valerio Pascucci
2020 ◽  
Vol 68 (9) ◽  
pp. 5273-5282 ◽  
Author(s):  
Baturalp Buyukates ◽  
Sennur Ulukus

Author(s):  
Valmir Carneiro Barbosa ◽  
Alan Diêgo A. Carneiro ◽  
Fábio Protti ◽  
Uéverton S. Souza

2018 ◽  
Vol 62 (2) ◽  
pp. 553-558
Author(s):  
Jonathan Ariel Barmak

AbstractIt is well known that if X is a CW-complex, then for every weak homotopy equivalence f : A → B, the map f* : [X, A] → [X, B] induced in homotopy classes is a bijection. In fact, up to homotopy equivalence, only CW-complexes have that property. Now, for which spaces X is f* : [B, X] → [A, X] a bijection for every weak equivalence f? This question was considered by J. Strom and T. Goodwillie. In this note we prove that a non-empty space inverts weak equivalences if and only if it is contractible.


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