Closed Coverings in Cech Homology Theory

1957 ◽  
Vol 84 (2) ◽  
pp. 319
Author(s):  
E. E. Floyd
Keyword(s):  
Homology Theory ◽  
Čech Homology

Generalized functions and Čech homology theory

1966 ◽  
Vol 72 (1) ◽  
pp. 45-57 ◽  
Author(s):  
Rubens G. Lintz
Keyword(s):  
Homology Theory ◽  
Generalized Functions ◽  
Čech Homology

IX. The Čech homology theory

1952 ◽  
pp. 233-256
Keyword(s):  
Homology Theory ◽  
Čech Homology

scholarly journals Closed coverings in Čech homology theory

1957 ◽  
Vol 84 (2) ◽  
pp. 319-319
Author(s):  
E. E. Floyd
Keyword(s):  
Homology Theory ◽  
Čech Homology

scholarly journals The Cech homology theory in the category of soft topological spaces

2020 ◽  
Vol 1 (1) ◽  
pp. 41-51
Author(s):  
Cigdem Gunduz Aras ? · Sebuhi Abdullayev
Keyword(s):  
Homology Theory ◽  
Topological Spaces ◽  
Čech Homology

scholarly journals A characterization of the Čech homology theory

1970 ◽  
Vol 21 (2) ◽  
pp. 229-237 ◽  
Author(s):  
S. K. Kaul
Keyword(s):  
Homology Theory ◽  
Čech Homology

A Geometric Approach to Homology Theory

1976 ◽  
Author(s):  
S. Buonchristiano ◽  
C. P. Rourke ◽  
B. J. Sanderson
Keyword(s):  
Geometric Approach ◽  
Homology Theory

scholarly journals Blackbox computation of A ∞-algebras

2010 ◽  
Vol 17 (2) ◽  
pp. 391-404
Author(s):  
Mikael Vejdemo-Johansson
Keyword(s):  
Homology Theory ◽  
Algebra Structure ◽  
Finite Amount ◽  
Computational Work ◽  
Dg Algebra ◽  
Dg Algebras

Abstract Kadeishvili's proof of theminimality theorem [T. Kadeishvili, On the homology theory of fiber spaces, Russ. Math. Surv. 35:3 (1980), 231–238] induces an algorithm for the inductive computation of an A ∞-algebra structure on the homology of a dg-algebra. In this paper, we prove that for one class of dg-algebras, the resulting computation will generate a complete A ∞-algebra structure after a finite amount of computational work.

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.

On the Homology Theory of Algebraic Varieties, I

1956 ◽  
Vol 63 (2) ◽  
pp. 248 ◽  
Author(s):  
Andrew H. Wallace
Keyword(s):  
Homology Theory ◽  
Algebraic Varieties

A New Homology Theory

1942 ◽  
Vol 43 (2) ◽  
pp. 370 ◽  
Author(s):  
W. Mayer
Keyword(s):  
Homology Theory
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