Sökning: WFRF:(Bartoszek Krzysztof 1984 ) >
The Fundamental Gro...
The Fundamental Group, Covering Spaces and Topology in Biology
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- Bartoszek, Krzysztof, 1984- (författare)
- Department of Mathematics, Gdansk University of Technology, Gdansk, Poland
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- Signerska, Justyna (författare)
- Department of Mathematics, Gdansk University of Technology, Gdansk, Poland
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(creator_code:org_t)
- 2006
- 2006
- Engelska.
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Ingår i: Conference materials IX International Workshop for Young Mathematicians. ; , s. 19-29, s. 19-29
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- Abstract. We give a short introduction to homotopy theory. We pass to the concepts of a pointed space (X, x0), the fundamental group of X, a simply connected space (with the example of the space contractible to a point), introduce basic concepts of covering spaces (e.g. covering map/space, fiber over x, Path lifting Theorem). With the use of the exponential map and the idea of the index of a loop, we show that the fundamental group of the circle S1 is isomorphic to the integers Z with addition. We mention some other interesting fundamental groups (e.g. the fundamental group of a torus or of thefigure eight). We also present some very interesting applications of topological concepts in Molecular Biology.
Ämnesord
- NATURVETENSKAP -- Matematik -- Annan matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Other Mathematics (hsv//eng)
Nyckelord
- Mathematics
- Matematik
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