Regarding .shp, .dbf, and .prj, those are components of a shapefile. Typically, you'll have about 7 file components of a shapefile - not all are required, but you absolutely must have at least the following:
.shp
.shx
.dbf
Here's the complete list:
- .prj — projection format; the coordinate system and projection information, a plain text file describing the projection using well-known text format
- .sbn and .sbx — a spatial index of the features
- .fbn and .fbx — a spatial index of the features that are read-only
- .ain and .aih — an attribute index of the active fields in a table
- .ixs — a geocoding index for read-write datasets
- .mxs — a geocoding index for read-write datasets (ODB format)
- .atx — an attribute index for the .dbf file in the form of shapefile.columnname.atx (ArcGIS 8 and later)
- .shp.xml — geospatial metadata in XML format, such as ISO 19115 or other XML schema
- .cpg — used to specify the code page (only for .dbf) for identifying the character encoding to be used
- .qix — an alternative quadtree spatial index used by MapServer and GDAL/OGR software
Shapefile - Wikipedia, the free encyclopedia
Make sure the shapefile you are attempting to open has the three mandatory files - I would recommend you have the .prj as well, so long as it's valid (looks like you do). If you don't have it, but are 100% certain of the projection, you can define this in ArcMap using the Define Tool. Like I said, only use this if you need to define the .prj and know the projection used to create the shapefile originally.
Here's some info on salvaging a corrupt shapefile, if that's an issue for you:
27429 - Recover a corrupt shapefile
Regarding the other files, it's been awhile, but if I'm not mistaken, a .cor is a post-processed/corrected .ssf - you should be able to export from Pathfinder to shapefile. Regarding the .dsp - this may be related to Optitex (a CAD software); a marker file:
Optitex | 3D Virtual Prototyping, 2D CAD Pattern + Fashion Design Software
Knowledge:CAD File Extension - OptitexHelpEn
Marker:Save As - OptitexHelpEn
I have no experience with this software...
