On maximally graded algebras and Walsh functions

1988 ◽  
Vol 26 (1) ◽  
pp. 137-142 ◽  
Author(s):  
A.K. Kwaśniewski
Keyword(s):  
Walsh Functions ◽  
Graded Algebras

scholarly journals Homological epimorphisms, homotopy epimorphisms and acyclic maps

2020 ◽  
Vol 32 (6) ◽  
pp. 1395-1406
Author(s):  
Joseph Chuang ◽  
Andrey Lazarev
Keyword(s):  
Wide Class ◽  
Topological Spaces ◽  
Loop Spaces ◽  
Graded Algebras ◽  
Differential Graded Algebras ◽  
Algebraic Description ◽  
Acyclic Map ◽  
Induced Maps

AbstractWe show that the notions of homotopy epimorphism and homological epimorphism in the category of differential graded algebras are equivalent. As an application we obtain a characterization of acyclic maps of topological spaces in terms of induced maps of their chain algebras of based loop spaces. In the case of a universal acyclic map we obtain, for a wide class of spaces, an explicit algebraic description for these induced maps in terms of derived localization.

On the Definition and Generation of Walsh Functions

1972 ◽  
Vol C-21 (2) ◽  
pp. 187-189 ◽  
Author(s):  
Anthony C. Davies
Keyword(s):  
Walsh Functions
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