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math.AT2016
New invariants for a real valued and angle valued map (an Alternative to Morse- Novikov theory)
Dan Burghelea
This paper but section 6 is essentially my lecture at The Eighth Congress of Romanian Mathematicians, June 26 - July 1, 2015, Iasi, Romania. The paper summarizes the definitions an…
math.AT2016★ 3 cited
A refinement of Betti numbers and homology in the presence of a continuous function II (the case of an angle valued map)
Dan Burghelea
For a continuous angle-valued map defined on a compact ANR, a fixed field and any degree one proposes a refinement of the Novikov-Betti number and of the Novikov homology of the pa…