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We present deep near-infrared JHK imaging of four 10'x10' fields. Theobservations were carried out as part of the Multiwavelength Survey byYale-Chile (MUSYC) with ISPI on the CTIO 4m telescope. The typical point sourcelimiting depths are J~22.5, H~21.5, and K~21 (5sigma; Vega). The effectiveseeing in the final images is ~1.0". We combine these data with MUSYC UBVRIzimaging to create K-selected catalogs that are unique for their uniform size,depth, filter coverage, and image quality. We investigate the rest-frameoptical colors and photometric redshifts of galaxies that are selected usingcommon color selection techniques, including distant red galaxies (DRGs),star-forming and passive BzKs, and the rest-frame UV-selected BM, BX, and Lymanbreak galaxies (LBGs). These techniques are effective at isolating largesamples of high redshift galaxies, but none provide complete or uniform samplesacross the targeted redshift ranges. The DRG and BM/BX/LBG criteria identifypopulations of red and blue galaxies, respectively, as they were designed todo. The star-forming BzKs have a very wide redshift distribution, a wide rangeof colors, and may include galaxies with very low specific star formationrates. In comparison, the passive BzKs are fewer in number, have a differentdistribution of K magnitudes, and have a somewhat different redshiftdistribution. By combining these color selection criteria, it appears possibleto define a reasonably complete sample of galaxies to our flux limit overspecific redshift ranges. However, the redshift dependence of both thecompleteness and sampled range of rest-frame colors poses an ultimate limit tothe usefulness of these techniques.Comment: 17 pages in emulateapj style, 13 figures. Submitted to the  Astronomical Journal. Data will be made available upon publicatio

The Multiwavelength Survey by Yale-Chile (MUSYC): Deep Near-Infrared Imaging and the Selection of Distant Galaxies