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15
131
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Whether there exists some compact manifold whose continuous map must have a fixed point?

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#manifolds #fixed-point-theorems #klein-bottle
368
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How to tell whether a combinatorial surface is orientable.

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#algebraic-topology #surfaces #orientation #klein-bottle
2.6k
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Is the Klein bottle homeomorphic to the union of two Mobius bands attached along boundary circle?

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#general-topology #algebraic-topology #klein-bottle #mobius-band
377
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Is this octogon topologically equivalent to the Klein Bottle?

Published on
#abstract-algebra #general-topology #homotopy-theory #geometric-topology #klein-bottle
892
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Fundamental group Klein Bottle triangulation

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#general-topology #algebraic-topology #trees #fundamental-groups #klein-bottle
540
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Klein bottle in $\mathbb{R}^4$ does not have a couple of normal vector fields

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#algebraic-topology #differential-topology #geometric-topology #klein-bottle
340
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Homotopy 'diagrams' for Klein bottle and projective plane

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#general-topology #algebraic-topology #homotopy-theory #projective-space #klein-bottle
586
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Link between $\mathbb{Z}$ and the fundamental group's of 'common' topological spaces

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#general-topology #algebraic-topology #fundamental-groups #free-groups #klein-bottle
1.2k
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Is this the projective plane or the Klein bottle? (Fundamental polygon)

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#general-topology #algebraic-topology #fundamental-groups #free-groups #klein-bottle
204
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Confusion of classification of closed surfaces

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#general-topology #surfaces #klein-bottle #mobius-band
1.5k
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Klein bottle homeomorphic to union of Möbius strip

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#general-topology #klein-bottle #mobius-band
520
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Klein Bottle discrete harmonics?

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#general-topology #algebraic-topology #fourier-analysis #spherical-harmonics #klein-bottle
2.9k
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Minimal triangulation of Klein bottle

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#triangulation #klein-bottle
1.3k
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Homework: The Klein bottle retracts onto a loop.

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#general-topology #algebraic-topology #klein-bottle #mobius-band
1.2k
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Show that the Klein bottle is the connected sum of two copies of $\Bbb{R}P^2$

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#general-topology #algebraic-topology #projective-space #mobius-band #klein-bottle

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