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DW complexes and their underlying topological spaces
Abstract
The naïve concept of a DW complex is that of a
differential space that can be built up from cells and whose differential
structure is defined in terms of differential structures on Euclidean unit
closed balls. This concept stems from an analogue in the category of
topological spaces: the so-called CW complex. The paper goes as far as
investigating the underlying topological space of a DW complex.
Mathematics Subject
Classification (2000):
54B15, 54B17.
Key words: Differential spaces; CW complexes;
DW complexes.
Quaestiones
Mathematicae 25 (2002), 119-134
differential space that can be built up from cells and whose differential
structure is defined in terms of differential structures on Euclidean unit
closed balls. This concept stems from an analogue in the category of
topological spaces: the so-called CW complex. The paper goes as far as
investigating the underlying topological space of a DW complex.
Mathematics Subject
Classification (2000):
54B15, 54B17.
Key words: Differential spaces; CW complexes;
DW complexes.
Quaestiones
Mathematicae 25 (2002), 119-134
