The problem was to develop a model of thought within the basic structure provided by general or "point-set" topology. To do this, it was necessary to make four basic assumptions. It was assumed that each individual possesses more than the classical five senses and that for each of these there exists a category of sensory data. Also, it was assumed that the Cartesian product of these categories formed a set M of thought elements for each individual, and that certain subsets of M provide support for cogitation. The relation, function, continuous function, and homeomorphism, which are used to relate sets in topology, are discussed as a possible ramification of the model for communication. The global properties of the homeomorphism and continuous function present each as a viable support for strong and meaningful communication between thought spaces of individuals.

This study is a survey of public community college speech programs in Texas. An investigation of the literature revealed that only three similar studies had been made concerning Texas junior colleges. Chapter Four concludes the study by reviewing the current status of public community college speech programs in Texas and making recommendations for the improvement of these speech programs.