Errata for textbook Introduction to persistent homology
- Page 14: ``(0,0,\ldots, n)" should be ``(0,0,\ldots, 0)". [Thanks to AJ for pointing it out.]
- Page 26: At the beginning of the proof of Proposition 2.5.4(2), ``abc" should be ``xyz". [Thanks to AJ for pointing it out.]
- Pages 27 and 30: The bottom right entry in the 3 x 3 matrix should be ``z_2" instead of ``y_2". [Thanks to JW and AJ for pointing it out.]
- Page 54: In the side note we obtain Euler characteristic 0 for the torus and the Klein bottle, instead of 2. [Thanks to AJ for pointing it out.]
- Page 73: ``\Delta_{U_2}" should be ``\Delta_{U_k}" at the ends of two lists. [Thanks to AJ for pointing it out.]
- Page 76: The ``denominator'' should be ``p \mathbb{Z}" instead of ``\mathbb{Z}_p". [Thanks to AJ for pointing it out.]
- Page 80: Conclusion 2. in Proposition 6.2.3 should be ``dim(V/U) = dim (V) - dim(U)", instead of ``dim(U)- dim(V)". [Thanks to PT, MŠ and AJ for pointing it out.]
- Page 80: In the proof of Proposition 6.2.3, B_2 is a basis of ``V/U" instead of ``U/V". Likewise, ``V/U" should be ``U/V" in footnote 24. [Thanks to DZM for pointing it out.]
- Page 82: In Definition 6.3.2. we should have ``f(a+b)=f(a)+f(b)" instead of ``f(a+b)=a(a)+b(b)". [Thanks to DZM for pointing it out.]
- Page 87: ``from t" should be ``front", twice. [Thanks to AJ for pointing it out.] ``simplez'' should be ``simplex'' twice [Thanks to DZM for pointing it out.]
- Page 99: ``meaning that α is a chain" should be ``meaning that α is a cycle". [Thanks to AJ for pointing it out.]
- Page 100: ``H_2" should be ``H_1". [Thanks to AJ for pointing it out.]
- Page 102: ``{1,2,...,n−1}" should be ``{1,2,...,n−2}", twice. [Thanks to AJ for pointing it out.]
- Page 103: ``satisfying \partial^2" should be ``satisfying \partial^2 = 0". [Thanks to AJ for pointing it out.]
- Page 112: Figure 8.5 mysteriously disappeared during the processing of PDF. The page with the figure is provided here.
- Page 113: Theorem 8.1.6 should state ``The sphere S^n admits a non-vanishing tangent field iff n is odd". [Thanks to MŠ for pointing it out.]
- Page 114: In Definition 8.2.1, term ``ker f_n" should be ``ker \varphi_n". [Thanks to MŠ for pointing it out.]
- Page 126: Indices ``k" and ``k+1" should be ``m" and ``m+1". [Thanks to AJ for pointing it out.]
- Page 144: ``d_H(A,B)=max{r_A, r_B}" should be ``d_H(A,B)=min{r_A, r_B}". [Thanks to AJ for pointing it out.]
- Pages 155 and 156: The interleaving distance epsilon should be ``max{|p-p'|, |q-q'|}, instead of ``max{|p-q|, |p'-q'|}" in all 5 instances. [Thanks to XY for pointing it out.]
- Page 158: Caption of 11.2 should contain ``along'' instead of ``alone''. [Thanks to AF for pointing it out.]
- Page 159: In the statement of Proposition 11.2.2, ``either'' should be ``we have''. [Thanks to DZM for pointing it out.]
Also, a big thanks to AJ for pointing out many minor typos!