scholarly journals Errata to the paper "On exact sequences and strict bounded group homomorphisms "

2022 ◽  
Vol 40 ◽  
pp. 1-1
Author(s):  
Dinamérico Pereira Pombo Junior
Keyword(s):  
Bounded Group ◽  
Exact Sequences

Corrections to the above-mentioned paper are provided.

scholarly journals On exact sequences and strict bounded group homomorphisms

2021 ◽  
Vol 39 (2) ◽  
pp. 195-202
Author(s):  
Dinamérico Pereira Pombo Jr.
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Bounded Group ◽  
Necessary And Sufficient ◽  
Exact Sequences

Necessary and sufficient conditions for the exactness (in the algebraic sense) of certain sequences of bounded group homomorphisms are established.

The category of exact sequences of Banach spaces

2010 ◽  
pp. 139-158 ◽  
Author(s):  
Jesús M. F. Castillo ◽  
Yolanda Moreno
Keyword(s):  
Banach Spaces ◽  
Exact Sequences

scholarly journals Path homology theory of edge-colored graphs

2021 ◽  
Vol 19 (1) ◽  
pp. 706-723
Author(s):  
Yuri V. Muranov ◽  
Anna Szczepkowska
Keyword(s):  
Spectral Sequence ◽  
Edge Coloring ◽  
Homology Theory ◽  
Homotopy Category ◽  
Homology Groups ◽  
Colored Graphs ◽  
Natural Filtration ◽  
Definition Of ◽  
Exact Sequences

Abstract In this paper, we introduce the category and the homotopy category of edge-colored digraphs and construct the functorial homology theory on the foundation of the path homology theory provided by Grigoryan, Muranov, and Shing-Tung Yau. We give the construction of the path homology theory for edge-colored graphs that follows immediately from the consideration of natural functor from the category of graphs to the subcategory of symmetrical digraphs. We describe the natural filtration of path homology groups of any digraph equipped with edge coloring, provide the definition of the corresponding spectral sequence, and obtain commutative diagrams and braids of exact sequences.

scholarly journals On exact sequences in the homology of groups and algebras

1970 ◽  
Vol 14 (2) ◽  
pp. 205-215 ◽  
Author(s):  
Beno Eckmann ◽  
Urs Stammbach
Keyword(s):  
Exact Sequences

scholarly journals Separating bounded group homomorphisms on ℓ-groups of functions

2011 ◽  
Vol 158 (14) ◽  
pp. 1831-1835
Author(s):  
Karim Boulabiar ◽  
Fouad Gdara
Keyword(s):  
Bounded Group
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