Aspects of Global Analysis of Circle-Valued Mappings
DOI10.1007/978-3-319-06554-0_4zbMath1323.58009OpenAlexW83657911MaRDI QIDQ2945422
Dana Mangra, Cornel Pintea, Dorin Andrica
Publication date: 11 September 2015
Published in: Topics in Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-06554-0_4
projective spacefundamental groupRiemann surfacecompact surfaceMorse functioncovering mapcharacteristic pointcircular functionPoincaré-Hopf theoremMorse-Smale characteristiccircular Morse-Smale characteristic\(\varphi\)-categorycircular \(\varphi\)-categoryfirst Heisenberg group
Covering spaces and low-dimensional topology (57M10) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70) Differentiable mappings in differential topology (57R35)
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