5 citations · 15 across the 13 of their papers we have counts for
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A conditional proof of the ISP for quasinilpotent operators
Manuel Norman
The invariant subspace problem (ISP) is a well known unsolved problem in funtional analysis. While many partial results are known, the general case for complex, infinite dimensiona…
Primigraph spaces
Manuel Norman
In this paper we introduce primigraph spaces, which are topological spaces together with a sheaf of -algebras that can be covered by some Prim A's, that is, by the primitive s…
(Co)homology theories for structured spaces arising from their corresponding poset
Manuel Norman
In [1] we introduced the notion of 'structured space', i.e. a space which locally resembles various algebraic structures. In [2] and [3] we studied some cohomology theories related…
Conical calculus on schemes and perfectoid spaces via stratification
Manuel Norman
In this paper we show that, besides the usual calculus involving Kähler differentials, it is also possible to define conical calculus on schemes and perfectoid spaces; this can be…
Structured spaces: categories, sheaves, bundles, schemes and cohomology theories
Manuel Norman
In [1] we introduced the concept of structured space, which is a topological space that locally resembles some algebraic structures. In [2] we proceeded the study of these spaces,…
Two cohomology theories for structured spaces
Manuel Norman
In [1] we defined a new kind of space called 'structured space' which locally resembles, near each of its points, some algebraic structure. We noted in the conclusion of the cited…
A (co)homology theory for some preordered topological spaces
Manuel Norman
The aim of this short note is to develop a (co)homology theory for topological spaces together with the specialisation preorder. A known way to construct such a (co)homology is to…
On structured spaces and their properties
Manuel Norman
In this paper we introduce a new kind of topological space, called 'structured space', which locally resembles various kinds of algebraic structures. This can be useful, for instan…