Fiber shape theory
Fiber shape theory
This paper is concern the current problem of extending the classical results from the theory of retracts and shape theory from topological spaces to mappings considered as objects. In particular, the author defines the notion of a fiber resolution of a map, proves its existence and explains connections with the notion of ANR-resolution in the sense of S. Mardešić. Similar notions for the category of the spaces over a fixed space \(B\) are studied.
- University of Trieste Italy
Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties), Shape theory in general topology, Fiber spaces and bundles in algebraic topology, Shape theory
Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties), Shape theory in general topology, Fiber spaces and bundles in algebraic topology, Shape theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!