References
- Canavezes, A., et al. 1998, The Topology of the IRAS Point Source Catalogue Redshift Survey, MNRAS, 297, 777 https://doi.org/10.1046/j.1365-8711.1998.01526.x
- Canavezes, A., & Efstathiou, G. 2004, TheTopology of the 2-Degree Field Galaxy Redshift Survey, Ap & SS, 290, 215 https://doi.org/10.1023/B:ASTR.0000022177.62525.37
- Choi, Y.-Y., Park, C., Kim, J., Gott, J. R., Weinberg, D. H., Vogeley, M. S., & Kim, S. S. 2010, Galaxy ClusteringTopologyin the Sloan Digital Sky Survey Main Galaxy Sample: A Test for Galaxy Formation Models, ApJS, 190, 181 https://doi.org/10.1088/0067-0049/190/1/181
- Doroshkevich, A. G. 1970, Spatial Structure of Perturbations and Origin of Galactic Rotation in Fluctuation Theory, Astrophysika, 6, 320
- Dunkley, J., Komatsu, E., Nolta, M.R., Spergel, D.N., Larson, D., Hinshaw, G., Page, L., Bennett, C.L., et al. 2009, Five-Year Wilkinson Microwave Anisotropy Probe Observations: Likelihoods and Parameters from the WMAP Data, ApJS, 180, 306 https://doi.org/10.1088/0067-0049/180/2/306
- Gott, J. R., Choi, Y.-Y., Park, C., & Kim, J. 2009, Three-Dimensional Genus Topology of Luminous Red Galaxies, ApJ, 695, L45 https://doi.org/10.1088/0004-637X/695/1/L45
- Gott, J. R., Dickinson, M., & Melott, A. L. 1986, The Sponge-Like Topology of Large-Scale Structure in the Universe, ApJ, 306, 341 https://doi.org/10.1086/164347
- Gott, J. R., et al. 1989, The Topology of Large-Scale Structure. III -Analysis of Observations, ApJ, 340, 625 https://doi.org/10.1086/167425
- Gott, J. R., Park, C., Juszkiewicz, R., Bies, W., Bennett, D., Bouchet, F., & Stebbins, A. 1990, Topology of Microwave Background Fluctuations -Theory, ApJ, 352, 1 https://doi.org/10.1086/168511
- Hamilton, A. J. S., Gott, J. R., & Weinberg, D. W. 1986, The Topology of the Large-Scale Structure of the Universe, ApJ, 309, 1 https://doi.org/10.1086/164571
- Hikage, C., Suto, Y., Kayo, I., Taruya, A., Matsubara, T., Vogeley, M. S., Hoyle, F., Gott, J. R., & Brinkmann, J. 2002, Three-Dimensional Genus Statistics of Galaxies in the SDSS Early Data Release, PASJ, 54, 707 https://doi.org/10.1093/pasj/54.5.707
- Hikage, C., Schmalzing, J., Buchert, T., Suto, Y., Kayo,I.,Taruya,A.,Vogeley, M.S., Hoyle, F., Gott, J. R., & Brinkmann, J. 2003, Minkowski Functionals of SDSS Galaxies I : Analysis of Excursion Sets, PASJ, 55, 911 https://doi.org/10.1093/pasj/55.5.911
- James, J. B., Colless, M., Lewis, G. F., & Peacock, J. A. 2009, Topology of Non-Linear Structure in the 2dF Galaxy Redshift Survey, MNRAS, 394, 454 https://doi.org/10.1111/j.1365-2966.2008.14358.x
- Moore, B., et al. 1992, The Topology of the QDOT IRAS Redshift Survey, MNRAS, 256, 477 https://doi.org/10.1093/mnras/256.3.477
- Munkres, J. R. 1993, Elements of Algebraic Topology (Boulder: Westview Press)
- Park, C., Choi,Y.-Y., Vogeley, M.S.,Gott, J.R., Kim, J., Hikage, C., Matsubara,T., Park, M.G., Suto,Y., & Weinberg, D. H. 2005, Topology Analysis of the Sloan Digital Sky Survey. I. Scale and Luminosity Dependence, ApJ, 633, 11 https://doi.org/10.1086/452625
- Park,C.,Colley,W.N.,Gott,J.R.,Ratra,B.,Spergel, D. N., & Sugiyama, N. 1998, Cosmic Microwave Background Anisotropy Correlation Function and Topology from Simulated Maps for MAP, ApJ, 506, 473 https://doi.org/10.1086/306259
- Park, C., Gott, J. R., & Choi, Y. J. 2001, Topology of the Galaxy Distribution in the Hubble Deep Fields, ApJ, 553, 33 https://doi.org/10.1086/320640
- Park, C., Gott, J. R., & da Costa, L. N. 1992, Large-ScaleStructurein theSouthernSkyRedshiftSurvey, ApJ, 392, L51 https://doi.org/10.1086/186423
- Park, C., & Kim, Y.-R. 2010, Large-Scale Structure of the Universe as a Cosmic Standard Ruler, ApJ, 715, L185 https://doi.org/10.1088/2041-8205/715/2/L185
- Park,C., Kim, J., & Gott, J.R. 2005, Effects of Gravi-tational Evolution, Biasing, and Red shift Space Distortion on Topology, ApJ, 633, 1 https://doi.org/10.1086/452621
- Protogeros, Z. A. M., & Weinberg, D. H. 1997, The Topology of Large-Scale Structure in the 1.2 Jy IRAS Redshift Survey, ApJ, 489, 457 https://doi.org/10.1086/304803
- Rhoads, J. E., Gott, J. R., & Postman, M. 1994, The Genus Curve of the Abell Clusters, ApJ, 421, 1 https://doi.org/10.1086/173619
- Sousbie, T. 2011, The Persistent Cosmic Web and Its Filamentary Structure -I. Theory and Implementation, MNRAS, 414, 350 https://doi.org/10.1111/j.1365-2966.2011.18394.x
- Sousbie, T., Pichon, C., & Kawahara, H. 2011, The Persistent Cosmic Web and Its Filamentary Structure -II. Illustrations, MNRAS, 414, 384 https://doi.org/10.1111/j.1365-2966.2011.18395.x
- van de Weygaert, R., Platen, E., Vegter, G., Eldering, B., & Kruithof, N., 2010, International Symposium on Voronoi Diagramsin Science and Engineering, 0, 224
- van de Weygaert, R., et al. 2011, Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web, Transactions on Computational Science, XIV, 60
- Vogeley, M. S., Park, C., Geller, M. J., Huchra, J. P., & Gott, J. R. 1994, Topological Analysis of the Cf A Redshift Survey, ApJ, 420, 525 https://doi.org/10.1086/173583
- Weinberg, D. H. 1988, Contour -A Topological Analysis Program, PASP, 100, 1373 https://doi.org/10.1086/132337
- Weinberg, D.H., Gott, J.R., & Melott, A. L. 1987, The Topology of Large-Scale Structure. I -Topology and the Random Phase Hypothesis, ApJ, 321, 2 https://doi.org/10.1086/165612
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